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Finding the Fourth Proportional to 2,545.98, 3,815.19 and 2,086.98

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Solution

The fourth proportional to 2,545.98, 3,815.19 and 2,086.98 is: 3,127.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.98 : 3,815.19 = 2,086.98 : x
  2. Step 2: Convert to fraction form
    2,545.98/3,815.19 = 2,086.98/x
  3. Step 3: Cross multiply
    2,545.98x = 3,815.19 × 2,086.98
  4. Step 4: Simplify right side
    2,545.98x = 7,962,225.23
  5. Step 5: Solve for x
    x = 7,962,225.23/2,545.98
  6. Step 6: Final answer
    x = 3,127.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.