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Finding the Fourth Proportional to 2,147.52, 2,964.96 and 1,320

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Solution

The fourth proportional to 2,147.52, 2,964.96 and 1,320 is: 1,822.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.52 : 2,964.96 = 1,320 : x
  2. Step 2: Convert to fraction form
    2,147.52/2,964.96 = 1,320/x
  3. Step 3: Cross multiply
    2,147.52x = 2,964.96 × 1,320
  4. Step 4: Simplify right side
    2,147.52x = 3,913,747.20
  5. Step 5: Solve for x
    x = 3,913,747.20/2,147.52
  6. Step 6: Final answer
    x = 1,822.45

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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.