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Finding the Fourth Proportional to 1,711.13, 2,564.67 and 979.70

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Solution

The fourth proportional to 1,711.13, 2,564.67 and 979.70 is: 1,468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.13 : 2,564.67 = 979.70 : x
  2. Step 2: Convert to fraction form
    1,711.13/2,564.67 = 979.70/x
  3. Step 3: Cross multiply
    1,711.13x = 2,564.67 × 979.70
  4. Step 4: Simplify right side
    1,711.13x = 2,512,607.20
  5. Step 5: Solve for x
    x = 2,512,607.20/1,711.13
  6. Step 6: Final answer
    x = 1,468.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.