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Finding the Fourth Proportional to 1,552.24, 2,142.30 and 963.28

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Solution

The fourth proportional to 1,552.24, 2,142.30 and 963.28 is: 1,329.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.24 : 2,142.30 = 963.28 : x
  2. Step 2: Convert to fraction form
    1,552.24/2,142.30 = 963.28/x
  3. Step 3: Cross multiply
    1,552.24x = 2,142.30 × 963.28
  4. Step 4: Simplify right side
    1,552.24x = 2,063,634.74
  5. Step 5: Solve for x
    x = 2,063,634.74/1,552.24
  6. Step 6: Final answer
    x = 1,329.46

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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.