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Finding the Fourth Proportional to 1,637.35, 2,259.50 and 891.29

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Solution

The fourth proportional to 1,637.35, 2,259.50 and 891.29 is: 1,229.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.35 : 2,259.50 = 891.29 : x
  2. Step 2: Convert to fraction form
    1,637.35/2,259.50 = 891.29/x
  3. Step 3: Cross multiply
    1,637.35x = 2,259.50 × 891.29
  4. Step 4: Simplify right side
    1,637.35x = 2,013,870.95
  5. Step 5: Solve for x
    x = 2,013,870.95/1,637.35
  6. Step 6: Final answer
    x = 1,229.96

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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.