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Finding the Fourth Proportional to 2,308.50, 3,462.82 and 577.13

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Solution

The fourth proportional to 2,308.50, 3,462.82 and 577.13 is: 865.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.50 : 3,462.82 = 577.13 : x
  2. Step 2: Convert to fraction form
    2,308.50/3,462.82 = 577.13/x
  3. Step 3: Cross multiply
    2,308.50x = 3,462.82 × 577.13
  4. Step 4: Simplify right side
    2,308.50x = 1,998,478.55
  5. Step 5: Solve for x
    x = 1,998,478.55/2,308.50
  6. Step 6: Final answer
    x = 865.70

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Why These Related Problems?

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