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Finding the Fourth Proportional to 2,288.86, 3,159.14 and 1,294.71

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Solution

The fourth proportional to 2,288.86, 3,159.14 and 1,294.71 is: 1,786.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.86 : 3,159.14 = 1,294.71 : x
  2. Step 2: Convert to fraction form
    2,288.86/3,159.14 = 1,294.71/x
  3. Step 3: Cross multiply
    2,288.86x = 3,159.14 × 1,294.71
  4. Step 4: Simplify right side
    2,288.86x = 4,090,170.15
  5. Step 5: Solve for x
    x = 4,090,170.15/2,288.86
  6. Step 6: Final answer
    x = 1,786.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.