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Finding the Fourth Proportional to 2,287.86, 3,444.67 and 2,086.47

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Solution

The fourth proportional to 2,287.86, 3,444.67 and 2,086.47 is: 3,141.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.86 : 3,444.67 = 2,086.47 : x
  2. Step 2: Convert to fraction form
    2,287.86/3,444.67 = 2,086.47/x
  3. Step 3: Cross multiply
    2,287.86x = 3,444.67 × 2,086.47
  4. Step 4: Simplify right side
    2,287.86x = 7,187,200.61
  5. Step 5: Solve for x
    x = 7,187,200.61/2,287.86
  6. Step 6: Final answer
    x = 3,141.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.