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Finding the Fourth Proportional to 2,962.32, 4,092 and 2,299.92

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Solution

The fourth proportional to 2,962.32, 4,092 and 2,299.92 is: 3,176.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.32 : 4,092 = 2,299.92 : x
  2. Step 2: Convert to fraction form
    2,962.32/4,092 = 2,299.92/x
  3. Step 3: Cross multiply
    2,962.32x = 4,092 × 2,299.92
  4. Step 4: Simplify right side
    2,962.32x = 9,411,272.64
  5. Step 5: Solve for x
    x = 9,411,272.64/2,962.32
  6. Step 6: Final answer
    x = 3,176.99

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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.