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Finding the Fourth Proportional to 2,125.74, 3,188.62 and 565.90

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Solution

The fourth proportional to 2,125.74, 3,188.62 and 565.90 is: 848.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.74 : 3,188.62 = 565.90 : x
  2. Step 2: Convert to fraction form
    2,125.74/3,188.62 = 565.90/x
  3. Step 3: Cross multiply
    2,125.74x = 3,188.62 × 565.90
  4. Step 4: Simplify right side
    2,125.74x = 1,804,447.55
  5. Step 5: Solve for x
    x = 1,804,447.55/2,125.74
  6. Step 6: Final answer
    x = 848.85

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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.