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Finding the Fourth Proportional to 3,027.41, 4,541.01 and 947.43

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Solution

The fourth proportional to 3,027.41, 4,541.01 and 947.43 is: 1,421.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.41 : 4,541.01 = 947.43 : x
  2. Step 2: Convert to fraction form
    3,027.41/4,541.01 = 947.43/x
  3. Step 3: Cross multiply
    3,027.41x = 4,541.01 × 947.43
  4. Step 4: Simplify right side
    3,027.41x = 4,302,289.10
  5. Step 5: Solve for x
    x = 4,302,289.10/3,027.41
  6. Step 6: Final answer
    x = 1,421.11

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.