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Finding the Fourth Proportional to 1,647.07, 2,470.91 and 781.38

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Solution

The fourth proportional to 1,647.07, 2,470.91 and 781.38 is: 1,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.07 : 2,470.91 = 781.38 : x
  2. Step 2: Convert to fraction form
    1,647.07/2,470.91 = 781.38/x
  3. Step 3: Cross multiply
    1,647.07x = 2,470.91 × 781.38
  4. Step 4: Simplify right side
    1,647.07x = 1,930,703.39
  5. Step 5: Solve for x
    x = 1,930,703.39/1,647.07
  6. Step 6: Final answer
    x = 1,172.20

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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.