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Finding the Fourth Proportional to 1,959.16, 2,937.48 and 1,092.28

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Solution

The fourth proportional to 1,959.16, 2,937.48 and 1,092.28 is: 1,637.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.16 : 2,937.48 = 1,092.28 : x
  2. Step 2: Convert to fraction form
    1,959.16/2,937.48 = 1,092.28/x
  3. Step 3: Cross multiply
    1,959.16x = 2,937.48 × 1,092.28
  4. Step 4: Simplify right side
    1,959.16x = 3,208,550.65
  5. Step 5: Solve for x
    x = 3,208,550.65/1,959.16
  6. Step 6: Final answer
    x = 1,637.72

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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.