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Finding the Fourth Proportional to 2,963, 4,443.98 and 1,114.30

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Solution

The fourth proportional to 2,963, 4,443.98 and 1,114.30 is: 1,671.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963 : 4,443.98 = 1,114.30 : x
  2. Step 2: Convert to fraction form
    2,963/4,443.98 = 1,114.30/x
  3. Step 3: Cross multiply
    2,963x = 4,443.98 × 1,114.30
  4. Step 4: Simplify right side
    2,963x = 4,951,926.91
  5. Step 5: Solve for x
    x = 4,951,926.91/2,963
  6. Step 6: Final answer
    x = 1,671.25

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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.