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Finding the Fourth Proportional to 1,480.87, 2,044.40 and 921.82

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Solution

The fourth proportional to 1,480.87, 2,044.40 and 921.82 is: 1,272.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.87 : 2,044.40 = 921.82 : x
  2. Step 2: Convert to fraction form
    1,480.87/2,044.40 = 921.82/x
  3. Step 3: Cross multiply
    1,480.87x = 2,044.40 × 921.82
  4. Step 4: Simplify right side
    1,480.87x = 1,884,568.81
  5. Step 5: Solve for x
    x = 1,884,568.81/1,480.87
  6. Step 6: Final answer
    x = 1,272.61

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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.