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Finding the Fourth Proportional to 2,487.56, 3,432.78 and 1,604.93

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Solution

The fourth proportional to 2,487.56, 3,432.78 and 1,604.93 is: 2,214.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,487.56 : 3,432.78 = 1,604.93 : x
  2. Step 2: Convert to fraction form
    2,487.56/3,432.78 = 1,604.93/x
  3. Step 3: Cross multiply
    2,487.56x = 3,432.78 × 1,604.93
  4. Step 4: Simplify right side
    2,487.56x = 5,509,354.44
  5. Step 5: Solve for x
    x = 5,509,354.44/2,487.56
  6. Step 6: Final answer
    x = 2,214.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.