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Finding the Fourth Proportional to 1,710.39, 2,564.45 and 877.97

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Solution

The fourth proportional to 1,710.39, 2,564.45 and 877.97 is: 1,316.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.39 : 2,564.45 = 877.97 : x
  2. Step 2: Convert to fraction form
    1,710.39/2,564.45 = 877.97/x
  3. Step 3: Cross multiply
    1,710.39x = 2,564.45 × 877.97
  4. Step 4: Simplify right side
    1,710.39x = 2,251,510.17
  5. Step 5: Solve for x
    x = 2,251,510.17/1,710.39
  6. Step 6: Final answer
    x = 1,316.37

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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.