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Finding the Fourth Proportional to 2,044.62, 2,820.15 and 1,545.66

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Solution

The fourth proportional to 2,044.62, 2,820.15 and 1,545.66 is: 2,131.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.62 : 2,820.15 = 1,545.66 : x
  2. Step 2: Convert to fraction form
    2,044.62/2,820.15 = 1,545.66/x
  3. Step 3: Cross multiply
    2,044.62x = 2,820.15 × 1,545.66
  4. Step 4: Simplify right side
    2,044.62x = 4,358,993.05
  5. Step 5: Solve for x
    x = 4,358,993.05/2,044.62
  6. Step 6: Final answer
    x = 2,131.93

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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.