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Finding the Fourth Proportional to 2,125.12, 3,187.78 and 586.12

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Solution

The fourth proportional to 2,125.12, 3,187.78 and 586.12 is: 879.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.12 : 3,187.78 = 586.12 : x
  2. Step 2: Convert to fraction form
    2,125.12/3,187.78 = 586.12/x
  3. Step 3: Cross multiply
    2,125.12x = 3,187.78 × 586.12
  4. Step 4: Simplify right side
    2,125.12x = 1,868,421.61
  5. Step 5: Solve for x
    x = 1,868,421.61/2,125.12
  6. Step 6: Final answer
    x = 879.21

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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.