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Finding the Fourth Proportional to 2,963.95, 4,446.60 and 1,016.14

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Solution

The fourth proportional to 2,963.95, 4,446.60 and 1,016.14 is: 1,524.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.95 : 4,446.60 = 1,016.14 : x
  2. Step 2: Convert to fraction form
    2,963.95/4,446.60 = 1,016.14/x
  3. Step 3: Cross multiply
    2,963.95x = 4,446.60 × 1,016.14
  4. Step 4: Simplify right side
    2,963.95x = 4,518,368.12
  5. Step 5: Solve for x
    x = 4,518,368.12/2,963.95
  6. Step 6: Final answer
    x = 1,524.44

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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.