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Finding the Fourth Proportional to 1,560.81, 2,154.08 and 963.27

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Solution

The fourth proportional to 1,560.81, 2,154.08 and 963.27 is: 1,329.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.81 : 2,154.08 = 963.27 : x
  2. Step 2: Convert to fraction form
    1,560.81/2,154.08 = 963.27/x
  3. Step 3: Cross multiply
    1,560.81x = 2,154.08 × 963.27
  4. Step 4: Simplify right side
    1,560.81x = 2,074,963.05
  5. Step 5: Solve for x
    x = 2,074,963.05/1,560.81
  6. Step 6: Final answer
    x = 1,329.41

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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.