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Finding the Fourth Proportional to 2,397.12, 3,306.60 and 1,464

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Solution

The fourth proportional to 2,397.12, 3,306.60 and 1,464 is: 2,019.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.12 : 3,306.60 = 1,464 : x
  2. Step 2: Convert to fraction form
    2,397.12/3,306.60 = 1,464/x
  3. Step 3: Cross multiply
    2,397.12x = 3,306.60 × 1,464
  4. Step 4: Simplify right side
    2,397.12x = 4,840,862.40
  5. Step 5: Solve for x
    x = 4,840,862.40/2,397.12
  6. Step 6: Final answer
    x = 2,019.45

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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.