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Finding the Fourth Proportional to 2,125.26, 3,188.14 and 565.33

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Solution

The fourth proportional to 2,125.26, 3,188.14 and 565.33 is: 848.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.26 : 3,188.14 = 565.33 : x
  2. Step 2: Convert to fraction form
    2,125.26/3,188.14 = 565.33/x
  3. Step 3: Cross multiply
    2,125.26x = 3,188.14 × 565.33
  4. Step 4: Simplify right side
    2,125.26x = 1,802,347.38
  5. Step 5: Solve for x
    x = 1,802,347.38/2,125.26
  6. Step 6: Final answer
    x = 848.06

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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.