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Finding the Fourth Proportional to 2,527.34, 3,487.12 and 1,929.56

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Solution

The fourth proportional to 2,527.34, 3,487.12 and 1,929.56 is: 2,662.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.34 : 3,487.12 = 1,929.56 : x
  2. Step 2: Convert to fraction form
    2,527.34/3,487.12 = 1,929.56/x
  3. Step 3: Cross multiply
    2,527.34x = 3,487.12 × 1,929.56
  4. Step 4: Simplify right side
    2,527.34x = 6,728,585.01
  5. Step 5: Solve for x
    x = 6,728,585.01/2,527.34
  6. Step 6: Final answer
    x = 2,662.32

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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.