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Finding the Fourth Proportional to 2,545.17, 3,817.04 and 900.83

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Solution

The fourth proportional to 2,545.17, 3,817.04 and 900.83 is: 1,350.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.17 : 3,817.04 = 900.83 : x
  2. Step 2: Convert to fraction form
    2,545.17/3,817.04 = 900.83/x
  3. Step 3: Cross multiply
    2,545.17x = 3,817.04 × 900.83
  4. Step 4: Simplify right side
    2,545.17x = 3,438,480.55
  5. Step 5: Solve for x
    x = 3,438,480.55/2,545.17
  6. Step 6: Final answer
    x = 1,350.98

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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.