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Finding the Fourth Proportional to 1,519.17, 2,279.70 and 653.55

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Solution

The fourth proportional to 1,519.17, 2,279.70 and 653.55 is: 980.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.17 : 2,279.70 = 653.55 : x
  2. Step 2: Convert to fraction form
    1,519.17/2,279.70 = 653.55/x
  3. Step 3: Cross multiply
    1,519.17x = 2,279.70 × 653.55
  4. Step 4: Simplify right side
    1,519.17x = 1,489,897.94
  5. Step 5: Solve for x
    x = 1,489,897.94/1,519.17
  6. Step 6: Final answer
    x = 980.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.