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Finding the Fourth Proportional to 3,130.52, 4,691.64 and 1,666.52

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Solution

The fourth proportional to 3,130.52, 4,691.64 and 1,666.52 is: 2,497.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.52 : 4,691.64 = 1,666.52 : x
  2. Step 2: Convert to fraction form
    3,130.52/4,691.64 = 1,666.52/x
  3. Step 3: Cross multiply
    3,130.52x = 4,691.64 × 1,666.52
  4. Step 4: Simplify right side
    3,130.52x = 7,818,711.89
  5. Step 5: Solve for x
    x = 7,818,711.89/3,130.52
  6. Step 6: Final answer
    x = 2,497.58

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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.