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Finding the Fourth Proportional to 3,264.16, 4,897.20 and 1,414.48

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Solution

The fourth proportional to 3,264.16, 4,897.20 and 1,414.48 is: 2,122.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.16 : 4,897.20 = 1,414.48 : x
  2. Step 2: Convert to fraction form
    3,264.16/4,897.20 = 1,414.48/x
  3. Step 3: Cross multiply
    3,264.16x = 4,897.20 × 1,414.48
  4. Step 4: Simplify right side
    3,264.16x = 6,926,991.46
  5. Step 5: Solve for x
    x = 6,926,991.46/3,264.16
  6. Step 6: Final answer
    x = 2,122.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.