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Finding the Fourth Proportional to 2,397.64, 3,308.85 and 1,349.77

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Solution

The fourth proportional to 2,397.64, 3,308.85 and 1,349.77 is: 1,862.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.64 : 3,308.85 = 1,349.77 : x
  2. Step 2: Convert to fraction form
    2,397.64/3,308.85 = 1,349.77/x
  3. Step 3: Cross multiply
    2,397.64x = 3,308.85 × 1,349.77
  4. Step 4: Simplify right side
    2,397.64x = 4,466,186.46
  5. Step 5: Solve for x
    x = 4,466,186.46/2,397.64
  6. Step 6: Final answer
    x = 1,862.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.