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Finding the Fourth Proportional to 1,947.27, 2,920.44 and 714.66

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Solution

The fourth proportional to 1,947.27, 2,920.44 and 714.66 is: 1,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.27 : 2,920.44 = 714.66 : x
  2. Step 2: Convert to fraction form
    1,947.27/2,920.44 = 714.66/x
  3. Step 3: Cross multiply
    1,947.27x = 2,920.44 × 714.66
  4. Step 4: Simplify right side
    1,947.27x = 2,087,121.65
  5. Step 5: Solve for x
    x = 2,087,121.65/1,947.27
  6. Step 6: Final answer
    x = 1,071.82

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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.