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Finding the Fourth Proportional to 2,382.68, 3,574.88 and 921.48

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Solution

The fourth proportional to 2,382.68, 3,574.88 and 921.48 is: 1,382.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.68 : 3,574.88 = 921.48 : x
  2. Step 2: Convert to fraction form
    2,382.68/3,574.88 = 921.48/x
  3. Step 3: Cross multiply
    2,382.68x = 3,574.88 × 921.48
  4. Step 4: Simplify right side
    2,382.68x = 3,294,180.42
  5. Step 5: Solve for x
    x = 3,294,180.42/2,382.68
  6. Step 6: Final answer
    x = 1,382.55

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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.