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Finding the Fourth Proportional to 2,514.18, 3,769.90 and 870.59

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Solution

The fourth proportional to 2,514.18, 3,769.90 and 870.59 is: 1,305.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.18 : 3,769.90 = 870.59 : x
  2. Step 2: Convert to fraction form
    2,514.18/3,769.90 = 870.59/x
  3. Step 3: Cross multiply
    2,514.18x = 3,769.90 × 870.59
  4. Step 4: Simplify right side
    2,514.18x = 3,282,037.24
  5. Step 5: Solve for x
    x = 3,282,037.24/2,514.18
  6. Step 6: Final answer
    x = 1,305.41

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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.