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Finding the Fourth Proportional to 2,397.50, 3,308.40 and 1,349.63

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Solution

The fourth proportional to 2,397.50, 3,308.40 and 1,349.63 is: 1,862.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.50 : 3,308.40 = 1,349.63 : x
  2. Step 2: Convert to fraction form
    2,397.50/3,308.40 = 1,349.63/x
  3. Step 3: Cross multiply
    2,397.50x = 3,308.40 × 1,349.63
  4. Step 4: Simplify right side
    2,397.50x = 4,465,099.35
  5. Step 5: Solve for x
    x = 4,465,099.35/2,397.50
  6. Step 6: Final answer
    x = 1,862.40

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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.