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Finding the Fourth Proportional to 2,361.85, 3,539.87 and 1,044.18

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Solution

The fourth proportional to 2,361.85, 3,539.87 and 1,044.18 is: 1,564.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.85 : 3,539.87 = 1,044.18 : x
  2. Step 2: Convert to fraction form
    2,361.85/3,539.87 = 1,044.18/x
  3. Step 3: Cross multiply
    2,361.85x = 3,539.87 × 1,044.18
  4. Step 4: Simplify right side
    2,361.85x = 3,696,261.46
  5. Step 5: Solve for x
    x = 3,696,261.46/2,361.85
  6. Step 6: Final answer
    x = 1,564.99

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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.