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Finding the Fourth Proportional to 1,755.98, 2,635.27 and 831.82

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Solution

The fourth proportional to 1,755.98, 2,635.27 and 831.82 is: 1,248.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.98 : 2,635.27 = 831.82 : x
  2. Step 2: Convert to fraction form
    1,755.98/2,635.27 = 831.82/x
  3. Step 3: Cross multiply
    1,755.98x = 2,635.27 × 831.82
  4. Step 4: Simplify right side
    1,755.98x = 2,192,070.29
  5. Step 5: Solve for x
    x = 2,192,070.29/1,755.98
  6. Step 6: Final answer
    x = 1,248.35

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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.