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Finding the Fourth Proportional to 1,524.06, 2,102.43 and 963.59

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Solution

The fourth proportional to 1,524.06, 2,102.43 and 963.59 is: 1,329.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.06 : 2,102.43 = 963.59 : x
  2. Step 2: Convert to fraction form
    1,524.06/2,102.43 = 963.59/x
  3. Step 3: Cross multiply
    1,524.06x = 2,102.43 × 963.59
  4. Step 4: Simplify right side
    1,524.06x = 2,025,870.01
  5. Step 5: Solve for x
    x = 2,025,870.01/1,524.06
  6. Step 6: Final answer
    x = 1,329.26

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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.