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Finding the Fourth Proportional to 2,159.22, 2,978.82 and 1,274.70

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Solution

The fourth proportional to 2,159.22, 2,978.82 and 1,274.70 is: 1,758.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.22 : 2,978.82 = 1,274.70 : x
  2. Step 2: Convert to fraction form
    2,159.22/2,978.82 = 1,274.70/x
  3. Step 3: Cross multiply
    2,159.22x = 2,978.82 × 1,274.70
  4. Step 4: Simplify right side
    2,159.22x = 3,797,101.85
  5. Step 5: Solve for x
    x = 3,797,101.85/2,159.22
  6. Step 6: Final answer
    x = 1,758.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.