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Finding the Fourth Proportional to 2,876.71, 4,315.59 and 1,782.31

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Solution

The fourth proportional to 2,876.71, 4,315.59 and 1,782.31 is: 2,673.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.71 : 4,315.59 = 1,782.31 : x
  2. Step 2: Convert to fraction form
    2,876.71/4,315.59 = 1,782.31/x
  3. Step 3: Cross multiply
    2,876.71x = 4,315.59 × 1,782.31
  4. Step 4: Simplify right side
    2,876.71x = 7,691,719.21
  5. Step 5: Solve for x
    x = 7,691,719.21/2,876.71
  6. Step 6: Final answer
    x = 2,673.79

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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.