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Finding the Fourth Proportional to 1,480.36, 2,042.70 and 891.04

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Solution

The fourth proportional to 1,480.36, 2,042.70 and 891.04 is: 1,229.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.36 : 2,042.70 = 891.04 : x
  2. Step 2: Convert to fraction form
    1,480.36/2,042.70 = 891.04/x
  3. Step 3: Cross multiply
    1,480.36x = 2,042.70 × 891.04
  4. Step 4: Simplify right side
    1,480.36x = 1,820,127.41
  5. Step 5: Solve for x
    x = 1,820,127.41/1,480.36
  6. Step 6: Final answer
    x = 1,229.52

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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.