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Finding the Fourth Proportional to 1,689.18, 2,534.34 and 811.98

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Solution

The fourth proportional to 1,689.18, 2,534.34 and 811.98 is: 1,218.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.18 : 2,534.34 = 811.98 : x
  2. Step 2: Convert to fraction form
    1,689.18/2,534.34 = 811.98/x
  3. Step 3: Cross multiply
    1,689.18x = 2,534.34 × 811.98
  4. Step 4: Simplify right side
    1,689.18x = 2,057,833.39
  5. Step 5: Solve for x
    x = 2,057,833.39/1,689.18
  6. Step 6: Final answer
    x = 1,218.24

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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.