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Finding the Fourth Proportional to 2,514.59, 3,770.98 and 1,052.95

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Solution

The fourth proportional to 2,514.59, 3,770.98 and 1,052.95 is: 1,579.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.59 : 3,770.98 = 1,052.95 : x
  2. Step 2: Convert to fraction form
    2,514.59/3,770.98 = 1,052.95/x
  3. Step 3: Cross multiply
    2,514.59x = 3,770.98 × 1,052.95
  4. Step 4: Simplify right side
    2,514.59x = 3,970,651.36
  5. Step 5: Solve for x
    x = 3,970,651.36/2,514.59
  6. Step 6: Final answer
    x = 1,579.04

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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.