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Finding the Fourth Proportional to 2,625.84, 3,936.33 and 981.18

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Solution

The fourth proportional to 2,625.84, 3,936.33 and 981.18 is: 1,470.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.84 : 3,936.33 = 981.18 : x
  2. Step 2: Convert to fraction form
    2,625.84/3,936.33 = 981.18/x
  3. Step 3: Cross multiply
    2,625.84x = 3,936.33 × 981.18
  4. Step 4: Simplify right side
    2,625.84x = 3,862,248.27
  5. Step 5: Solve for x
    x = 3,862,248.27/2,625.84
  6. Step 6: Final answer
    x = 1,470.86

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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.