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Finding the Fourth Proportional to 2,147.46, 2,963.64 and 1,203.20

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Solution

The fourth proportional to 2,147.46, 2,963.64 and 1,203.20 is: 1,660.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.46 : 2,963.64 = 1,203.20 : x
  2. Step 2: Convert to fraction form
    2,147.46/2,963.64 = 1,203.20/x
  3. Step 3: Cross multiply
    2,147.46x = 2,963.64 × 1,203.20
  4. Step 4: Simplify right side
    2,147.46x = 3,565,862.36
  5. Step 5: Solve for x
    x = 3,565,862.36/2,147.46
  6. Step 6: Final answer
    x = 1,660.50

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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.