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Finding the Fourth Proportional to 2,963.54, 4,442.82 and 1,402.64

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Solution

The fourth proportional to 2,963.54, 4,442.82 and 1,402.64 is: 2,102.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.54 : 4,442.82 = 1,402.64 : x
  2. Step 2: Convert to fraction form
    2,963.54/4,442.82 = 1,402.64/x
  3. Step 3: Cross multiply
    2,963.54x = 4,442.82 × 1,402.64
  4. Step 4: Simplify right side
    2,963.54x = 6,231,677.04
  5. Step 5: Solve for x
    x = 6,231,677.04/2,963.54
  6. Step 6: Final answer
    x = 2,102.78

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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.