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Finding the Fourth Proportional to 1,711.32, 2,564.52 and 971.52

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Solution

The fourth proportional to 1,711.32, 2,564.52 and 971.52 is: 1,455.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.32 : 2,564.52 = 971.52 : x
  2. Step 2: Convert to fraction form
    1,711.32/2,564.52 = 971.52/x
  3. Step 3: Cross multiply
    1,711.32x = 2,564.52 × 971.52
  4. Step 4: Simplify right side
    1,711.32x = 2,491,482.47
  5. Step 5: Solve for x
    x = 2,491,482.47/1,711.32
  6. Step 6: Final answer
    x = 1,455.88

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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.