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Finding the Fourth Proportional to 1,637.24, 2,259.37 and 891.19

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Solution

The fourth proportional to 1,637.24, 2,259.37 and 891.19 is: 1,229.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.24 : 2,259.37 = 891.19 : x
  2. Step 2: Convert to fraction form
    1,637.24/2,259.37 = 891.19/x
  3. Step 3: Cross multiply
    1,637.24x = 2,259.37 × 891.19
  4. Step 4: Simplify right side
    1,637.24x = 2,013,531.84
  5. Step 5: Solve for x
    x = 2,013,531.84/1,637.24
  6. Step 6: Final answer
    x = 1,229.83

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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.