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Finding the Fourth Proportional to 2,047.42, 3,071.12 and 586.58

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Solution

The fourth proportional to 2,047.42, 3,071.12 and 586.58 is: 879.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.42 : 3,071.12 = 586.58 : x
  2. Step 2: Convert to fraction form
    2,047.42/3,071.12 = 586.58/x
  3. Step 3: Cross multiply
    2,047.42x = 3,071.12 × 586.58
  4. Step 4: Simplify right side
    2,047.42x = 1,801,439.28
  5. Step 5: Solve for x
    x = 1,801,439.28/2,047.42
  6. Step 6: Final answer
    x = 879.86

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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.