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Finding the Fourth Proportional to 2,330.01, 3,495.33 and 686.52

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Solution

The fourth proportional to 2,330.01, 3,495.33 and 686.52 is: 1,029.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.01 : 3,495.33 = 686.52 : x
  2. Step 2: Convert to fraction form
    2,330.01/3,495.33 = 686.52/x
  3. Step 3: Cross multiply
    2,330.01x = 3,495.33 × 686.52
  4. Step 4: Simplify right side
    2,330.01x = 2,399,613.95
  5. Step 5: Solve for x
    x = 2,399,613.95/2,330.01
  6. Step 6: Final answer
    x = 1,029.87

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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.