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Finding the Fourth Proportional to 2,545.08, 3,817.10 and 879.12

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Solution

The fourth proportional to 2,545.08, 3,817.10 and 879.12 is: 1,318.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.08 : 3,817.10 = 879.12 : x
  2. Step 2: Convert to fraction form
    2,545.08/3,817.10 = 879.12/x
  3. Step 3: Cross multiply
    2,545.08x = 3,817.10 × 879.12
  4. Step 4: Simplify right side
    2,545.08x = 3,355,688.95
  5. Step 5: Solve for x
    x = 3,355,688.95/2,545.08
  6. Step 6: Final answer
    x = 1,318.50

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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.