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Finding the Fourth Proportional to 1,489.11, 2,055.03 and 891.51

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Solution

The fourth proportional to 1,489.11, 2,055.03 and 891.51 is: 1,230.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.11 : 2,055.03 = 891.51 : x
  2. Step 2: Convert to fraction form
    1,489.11/2,055.03 = 891.51/x
  3. Step 3: Cross multiply
    1,489.11x = 2,055.03 × 891.51
  4. Step 4: Simplify right side
    1,489.11x = 1,832,079.80
  5. Step 5: Solve for x
    x = 1,832,079.80/1,489.11
  6. Step 6: Final answer
    x = 1,230.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.