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Finding the Fourth Proportional to 2,016.49, 3,023.65 and 921.10

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Solution

The fourth proportional to 2,016.49, 3,023.65 and 921.10 is: 1,381.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.49 : 3,023.65 = 921.10 : x
  2. Step 2: Convert to fraction form
    2,016.49/3,023.65 = 921.10/x
  3. Step 3: Cross multiply
    2,016.49x = 3,023.65 × 921.10
  4. Step 4: Simplify right side
    2,016.49x = 2,785,084.02
  5. Step 5: Solve for x
    x = 2,785,084.02/2,016.49
  6. Step 6: Final answer
    x = 1,381.15

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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.