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Finding the Fourth Proportional to 2,913.71, 4,371.20 and 1,064.82

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Solution

The fourth proportional to 2,913.71, 4,371.20 and 1,064.82 is: 1,597.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.71 : 4,371.20 = 1,064.82 : x
  2. Step 2: Convert to fraction form
    2,913.71/4,371.20 = 1,064.82/x
  3. Step 3: Cross multiply
    2,913.71x = 4,371.20 × 1,064.82
  4. Step 4: Simplify right side
    2,913.71x = 4,654,545.84
  5. Step 5: Solve for x
    x = 4,654,545.84/2,913.71
  6. Step 6: Final answer
    x = 1,597.47

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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.