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Finding the Fourth Proportional to 2,147.08, 2,963.02 and 1,215.58

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Solution

The fourth proportional to 2,147.08, 2,963.02 and 1,215.58 is: 1,677.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.08 : 2,963.02 = 1,215.58 : x
  2. Step 2: Convert to fraction form
    2,147.08/2,963.02 = 1,215.58/x
  3. Step 3: Cross multiply
    2,147.08x = 2,963.02 × 1,215.58
  4. Step 4: Simplify right side
    2,147.08x = 3,601,787.85
  5. Step 5: Solve for x
    x = 3,601,787.85/2,147.08
  6. Step 6: Final answer
    x = 1,677.53

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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.