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Finding the Fourth Proportional to 3,123.70, 4,684.20 and 1,563.10

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Solution

The fourth proportional to 3,123.70, 4,684.20 and 1,563.10 is: 2,343.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.70 : 4,684.20 = 1,563.10 : x
  2. Step 2: Convert to fraction form
    3,123.70/4,684.20 = 1,563.10/x
  3. Step 3: Cross multiply
    3,123.70x = 4,684.20 × 1,563.10
  4. Step 4: Simplify right side
    3,123.70x = 7,321,873.02
  5. Step 5: Solve for x
    x = 7,321,873.02/3,123.70
  6. Step 6: Final answer
    x = 2,343.97

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Double scale
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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.