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Finding the Fourth Proportional to 2,497.34, 3,462.96 and 2,414.32

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Solution

The fourth proportional to 2,497.34, 3,462.96 and 2,414.32 is: 3,347.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.34 : 3,462.96 = 2,414.32 : x
  2. Step 2: Convert to fraction form
    2,497.34/3,462.96 = 2,414.32/x
  3. Step 3: Cross multiply
    2,497.34x = 3,462.96 × 2,414.32
  4. Step 4: Simplify right side
    2,497.34x = 8,360,693.59
  5. Step 5: Solve for x
    x = 8,360,693.59/2,497.34
  6. Step 6: Final answer
    x = 3,347.84

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.