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Finding the Fourth Proportional to 1,689.61, 2,534.46 and 811.97

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Solution

The fourth proportional to 1,689.61, 2,534.46 and 811.97 is: 1,217.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.61 : 2,534.46 = 811.97 : x
  2. Step 2: Convert to fraction form
    1,689.61/2,534.46 = 811.97/x
  3. Step 3: Cross multiply
    1,689.61x = 2,534.46 × 811.97
  4. Step 4: Simplify right side
    1,689.61x = 2,057,911.82
  5. Step 5: Solve for x
    x = 2,057,911.82/1,689.61
  6. Step 6: Final answer
    x = 1,217.98

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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.