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Finding the Fourth Proportional to 1,487.37, 2,228.20 and 902.55

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Solution

The fourth proportional to 1,487.37, 2,228.20 and 902.55 is: 1,352.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.37 : 2,228.20 = 902.55 : x
  2. Step 2: Convert to fraction form
    1,487.37/2,228.20 = 902.55/x
  3. Step 3: Cross multiply
    1,487.37x = 2,228.20 × 902.55
  4. Step 4: Simplify right side
    1,487.37x = 2,011,061.91
  5. Step 5: Solve for x
    x = 2,011,061.91/1,487.37
  6. Step 6: Final answer
    x = 1,352.09

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