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Finding the Fourth Proportional to 2,639.84, 3,642.88 and 1,461.12

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Solution

The fourth proportional to 2,639.84, 3,642.88 and 1,461.12 is: 2,016.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.84 : 3,642.88 = 1,461.12 : x
  2. Step 2: Convert to fraction form
    2,639.84/3,642.88 = 1,461.12/x
  3. Step 3: Cross multiply
    2,639.84x = 3,642.88 × 1,461.12
  4. Step 4: Simplify right side
    2,639.84x = 5,322,684.83
  5. Step 5: Solve for x
    x = 5,322,684.83/2,639.84
  6. Step 6: Final answer
    x = 2,016.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.