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Finding the Fourth Proportional to 1,637.25, 2,259.35 and 891.20

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Solution

The fourth proportional to 1,637.25, 2,259.35 and 891.20 is: 1,229.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.25 : 2,259.35 = 891.20 : x
  2. Step 2: Convert to fraction form
    1,637.25/2,259.35 = 891.20/x
  3. Step 3: Cross multiply
    1,637.25x = 2,259.35 × 891.20
  4. Step 4: Simplify right side
    1,637.25x = 2,013,516.97
  5. Step 5: Solve for x
    x = 2,013,516.97/1,637.25
  6. Step 6: Final answer
    x = 1,229.82

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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.