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Finding the Fourth Proportional to 2,125.18, 3,187.73 and 565.19

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Solution

The fourth proportional to 2,125.18, 3,187.73 and 565.19 is: 847.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.18 : 3,187.73 = 565.19 : x
  2. Step 2: Convert to fraction form
    2,125.18/3,187.73 = 565.19/x
  3. Step 3: Cross multiply
    2,125.18x = 3,187.73 × 565.19
  4. Step 4: Simplify right side
    2,125.18x = 1,801,658.59
  5. Step 5: Solve for x
    x = 1,801,658.59/2,125.18
  6. Step 6: Final answer
    x = 847.77

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