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Finding the Fourth Proportional to 2,543.04, 3,813.62 and 876.71

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Solution

The fourth proportional to 2,543.04, 3,813.62 and 876.71 is: 1,314.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.04 : 3,813.62 = 876.71 : x
  2. Step 2: Convert to fraction form
    2,543.04/3,813.62 = 876.71/x
  3. Step 3: Cross multiply
    2,543.04x = 3,813.62 × 876.71
  4. Step 4: Simplify right side
    2,543.04x = 3,343,418.63
  5. Step 5: Solve for x
    x = 3,343,418.63/2,543.04
  6. Step 6: Final answer
    x = 1,314.73

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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.