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Finding the Fourth Proportional to 1,402.02, 2,100.24 and 963.18

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Solution

The fourth proportional to 1,402.02, 2,100.24 and 963.18 is: 1,442.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.02 : 2,100.24 = 963.18 : x
  2. Step 2: Convert to fraction form
    1,402.02/2,100.24 = 963.18/x
  3. Step 3: Cross multiply
    1,402.02x = 2,100.24 × 963.18
  4. Step 4: Simplify right side
    1,402.02x = 2,022,909.16
  5. Step 5: Solve for x
    x = 2,022,909.16/1,402.02
  6. Step 6: Final answer
    x = 1,442.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.