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Finding the Fourth Proportional to 2,016.77, 3,025.35 and 921.65

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Solution

The fourth proportional to 2,016.77, 3,025.35 and 921.65 is: 1,382.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.77 : 3,025.35 = 921.65 : x
  2. Step 2: Convert to fraction form
    2,016.77/3,025.35 = 921.65/x
  3. Step 3: Cross multiply
    2,016.77x = 3,025.35 × 921.65
  4. Step 4: Simplify right side
    2,016.77x = 2,788,298.70
  5. Step 5: Solve for x
    x = 2,788,298.70/2,016.77
  6. Step 6: Final answer
    x = 1,382.56

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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.