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Finding the Fourth Proportional to 2,397.42, 3,308.58 and 1,349.64

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Solution

The fourth proportional to 2,397.42, 3,308.58 and 1,349.64 is: 1,862.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.42 : 3,308.58 = 1,349.64 : x
  2. Step 2: Convert to fraction form
    2,397.42/3,308.58 = 1,349.64/x
  3. Step 3: Cross multiply
    2,397.42x = 3,308.58 × 1,349.64
  4. Step 4: Simplify right side
    2,397.42x = 4,465,391.91
  5. Step 5: Solve for x
    x = 4,465,391.91/2,397.42
  6. Step 6: Final answer
    x = 1,862.58

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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.