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Finding the Fourth Proportional to 2,677.46, 4,015.18 and 921.97

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Solution

The fourth proportional to 2,677.46, 4,015.18 and 921.97 is: 1,382.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.46 : 4,015.18 = 921.97 : x
  2. Step 2: Convert to fraction form
    2,677.46/4,015.18 = 921.97/x
  3. Step 3: Cross multiply
    2,677.46x = 4,015.18 × 921.97
  4. Step 4: Simplify right side
    2,677.46x = 3,701,875.50
  5. Step 5: Solve for x
    x = 3,701,875.50/2,677.46
  6. Step 6: Final answer
    x = 1,382.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.