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Finding the Fourth Proportional to 2,701.71, 4,052.57 and 649.71

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Solution

The fourth proportional to 2,701.71, 4,052.57 and 649.71 is: 974.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.71 : 4,052.57 = 649.71 : x
  2. Step 2: Convert to fraction form
    2,701.71/4,052.57 = 649.71/x
  3. Step 3: Cross multiply
    2,701.71x = 4,052.57 × 649.71
  4. Step 4: Simplify right side
    2,701.71x = 2,632,992.01
  5. Step 5: Solve for x
    x = 2,632,992.01/2,701.71
  6. Step 6: Final answer
    x = 974.57

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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.