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Finding the Fourth Proportional to 1,487.20, 2,228.40 and 938.40

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Solution

The fourth proportional to 1,487.20, 2,228.40 and 938.40 is: 1,406.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.20 : 2,228.40 = 938.40 : x
  2. Step 2: Convert to fraction form
    1,487.20/2,228.40 = 938.40/x
  3. Step 3: Cross multiply
    1,487.20x = 2,228.40 × 938.40
  4. Step 4: Simplify right side
    1,487.20x = 2,091,130.56
  5. Step 5: Solve for x
    x = 2,091,130.56/1,487.20
  6. Step 6: Final answer
    x = 1,406.09

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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.