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Finding the Fourth Proportional to 2,967.13, 4,092.41 and 2,497.53

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Solution

The fourth proportional to 2,967.13, 4,092.41 and 2,497.53 is: 3,444.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.13 : 4,092.41 = 2,497.53 : x
  2. Step 2: Convert to fraction form
    2,967.13/4,092.41 = 2,497.53/x
  3. Step 3: Cross multiply
    2,967.13x = 4,092.41 × 2,497.53
  4. Step 4: Simplify right side
    2,967.13x = 10,220,904.26
  5. Step 5: Solve for x
    x = 10,220,904.26/2,967.13
  6. Step 6: Final answer
    x = 3,444.72

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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.