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Finding the Fourth Proportional to 3,123.60, 4,683.69 and 932.01

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Solution

The fourth proportional to 3,123.60, 4,683.69 and 932.01 is: 1,397.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.60 : 4,683.69 = 932.01 : x
  2. Step 2: Convert to fraction form
    3,123.60/4,683.69 = 932.01/x
  3. Step 3: Cross multiply
    3,123.60x = 4,683.69 × 932.01
  4. Step 4: Simplify right side
    3,123.60x = 4,365,245.92
  5. Step 5: Solve for x
    x = 4,365,245.92/3,123.60
  6. Step 6: Final answer
    x = 1,397.50

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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.