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Finding the Fourth Proportional to 1,793.88, 2,689.72 and 970.12

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Solution

The fourth proportional to 1,793.88, 2,689.72 and 970.12 is: 1,454.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793.88 : 2,689.72 = 970.12 : x
  2. Step 2: Convert to fraction form
    1,793.88/2,689.72 = 970.12/x
  3. Step 3: Cross multiply
    1,793.88x = 2,689.72 × 970.12
  4. Step 4: Simplify right side
    1,793.88x = 2,609,351.17
  5. Step 5: Solve for x
    x = 2,609,351.17/1,793.88
  6. Step 6: Final answer
    x = 1,454.59

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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.