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Finding the Fourth Proportional to 2,543.83, 3,508.45 and 1,610.71

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Solution

The fourth proportional to 2,543.83, 3,508.45 and 1,610.71 is: 2,221.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.83 : 3,508.45 = 1,610.71 : x
  2. Step 2: Convert to fraction form
    2,543.83/3,508.45 = 1,610.71/x
  3. Step 3: Cross multiply
    2,543.83x = 3,508.45 × 1,610.71
  4. Step 4: Simplify right side
    2,543.83x = 5,651,095.50
  5. Step 5: Solve for x
    x = 5,651,095.50/2,543.83
  6. Step 6: Final answer
    x = 2,221.49

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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.