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Finding the Fourth Proportional to 1,919.48, 2,648.89 and 1,080.17

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Solution

The fourth proportional to 1,919.48, 2,648.89 and 1,080.17 is: 1,490.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.48 : 2,648.89 = 1,080.17 : x
  2. Step 2: Convert to fraction form
    1,919.48/2,648.89 = 1,080.17/x
  3. Step 3: Cross multiply
    1,919.48x = 2,648.89 × 1,080.17
  4. Step 4: Simplify right side
    1,919.48x = 2,861,251.51
  5. Step 5: Solve for x
    x = 2,861,251.51/1,919.48
  6. Step 6: Final answer
    x = 1,490.64

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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.