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Finding the Fourth Proportional to 2,519.99, 3,780.67 and 876.63

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Solution

The fourth proportional to 2,519.99, 3,780.67 and 876.63 is: 1,315.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.99 : 3,780.67 = 876.63 : x
  2. Step 2: Convert to fraction form
    2,519.99/3,780.67 = 876.63/x
  3. Step 3: Cross multiply
    2,519.99x = 3,780.67 × 876.63
  4. Step 4: Simplify right side
    2,519.99x = 3,314,248.74
  5. Step 5: Solve for x
    x = 3,314,248.74/2,519.99
  6. Step 6: Final answer
    x = 1,315.18

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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.