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Finding the Fourth Proportional to 2,204.51, 3,042.02 and 1,543.55

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Solution

The fourth proportional to 2,204.51, 3,042.02 and 1,543.55 is: 2,129.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.51 : 3,042.02 = 1,543.55 : x
  2. Step 2: Convert to fraction form
    2,204.51/3,042.02 = 1,543.55/x
  3. Step 3: Cross multiply
    2,204.51x = 3,042.02 × 1,543.55
  4. Step 4: Simplify right side
    2,204.51x = 4,695,498.62
  5. Step 5: Solve for x
    x = 4,695,498.62/2,204.51
  6. Step 6: Final answer
    x = 2,129.96

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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.