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Finding the Fourth Proportional to 1,637.06, 2,259.17 and 891.03

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Solution

The fourth proportional to 1,637.06, 2,259.17 and 891.03 is: 1,229.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.06 : 2,259.17 = 891.03 : x
  2. Step 2: Convert to fraction form
    1,637.06/2,259.17 = 891.03/x
  3. Step 3: Cross multiply
    1,637.06x = 2,259.17 × 891.03
  4. Step 4: Simplify right side
    1,637.06x = 2,012,988.25
  5. Step 5: Solve for x
    x = 2,012,988.25/1,637.06
  6. Step 6: Final answer
    x = 1,229.64

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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.