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Finding the Fourth Proportional to 2,695.88, 4,044.26 and 1,309.30

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Solution

The fourth proportional to 2,695.88, 4,044.26 and 1,309.30 is: 1,964.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.88 : 4,044.26 = 1,309.30 : x
  2. Step 2: Convert to fraction form
    2,695.88/4,044.26 = 1,309.30/x
  3. Step 3: Cross multiply
    2,695.88x = 4,044.26 × 1,309.30
  4. Step 4: Simplify right side
    2,695.88x = 5,295,142.78
  5. Step 5: Solve for x
    x = 5,295,142.78/2,695.88
  6. Step 6: Final answer
    x = 1,964.16

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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.