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Finding the Fourth Proportional to 2,519.48, 3,780.95 and 876.03

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Solution

The fourth proportional to 2,519.48, 3,780.95 and 876.03 is: 1,314.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.48 : 3,780.95 = 876.03 : x
  2. Step 2: Convert to fraction form
    2,519.48/3,780.95 = 876.03/x
  3. Step 3: Cross multiply
    2,519.48x = 3,780.95 × 876.03
  4. Step 4: Simplify right side
    2,519.48x = 3,312,207.07
  5. Step 5: Solve for x
    x = 3,312,207.07/2,519.48
  6. Step 6: Final answer
    x = 1,314.64

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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.