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Finding the Fourth Proportional to 2,519.12, 3,779.52 and 876.08

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Solution

The fourth proportional to 2,519.12, 3,779.52 and 876.08 is: 1,314.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.12 : 3,779.52 = 876.08 : x
  2. Step 2: Convert to fraction form
    2,519.12/3,779.52 = 876.08/x
  3. Step 3: Cross multiply
    2,519.12x = 3,779.52 × 876.08
  4. Step 4: Simplify right side
    2,519.12x = 3,311,161.88
  5. Step 5: Solve for x
    x = 3,311,161.88/2,519.12
  6. Step 6: Final answer
    x = 1,314.41

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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.