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Finding the Fourth Proportional to 2,095.49, 2,891.13 and 1,255.79

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Solution

The fourth proportional to 2,095.49, 2,891.13 and 1,255.79 is: 1,732.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.49 : 2,891.13 = 1,255.79 : x
  2. Step 2: Convert to fraction form
    2,095.49/2,891.13 = 1,255.79/x
  3. Step 3: Cross multiply
    2,095.49x = 2,891.13 × 1,255.79
  4. Step 4: Simplify right side
    2,095.49x = 3,630,637.69
  5. Step 5: Solve for x
    x = 3,630,637.69/2,095.49
  6. Step 6: Final answer
    x = 1,732.60

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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.