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Finding the Fourth Proportional to 2,543.87, 3,508.75 and 2,164.79

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Solution

The fourth proportional to 2,543.87, 3,508.75 and 2,164.79 is: 2,985.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.87 : 3,508.75 = 2,164.79 : x
  2. Step 2: Convert to fraction form
    2,543.87/3,508.75 = 2,164.79/x
  3. Step 3: Cross multiply
    2,543.87x = 3,508.75 × 2,164.79
  4. Step 4: Simplify right side
    2,543.87x = 7,595,718.39
  5. Step 5: Solve for x
    x = 7,595,718.39/2,543.87
  6. Step 6: Final answer
    x = 2,985.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.