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Finding the Fourth Proportional to 1,976.04, 2,963.88 and 742.92

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Solution

The fourth proportional to 1,976.04, 2,963.88 and 742.92 is: 1,114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.04 : 2,963.88 = 742.92 : x
  2. Step 2: Convert to fraction form
    1,976.04/2,963.88 = 742.92/x
  3. Step 3: Cross multiply
    1,976.04x = 2,963.88 × 742.92
  4. Step 4: Simplify right side
    1,976.04x = 2,201,925.73
  5. Step 5: Solve for x
    x = 2,201,925.73/1,976.04
  6. Step 6: Final answer
    x = 1,114.31

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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.