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Finding the Fourth Proportional to 2,135.42, 2,947.08 and 1,251.03

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Solution

The fourth proportional to 2,135.42, 2,947.08 and 1,251.03 is: 1,726.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.42 : 2,947.08 = 1,251.03 : x
  2. Step 2: Convert to fraction form
    2,135.42/2,947.08 = 1,251.03/x
  3. Step 3: Cross multiply
    2,135.42x = 2,947.08 × 1,251.03
  4. Step 4: Simplify right side
    2,135.42x = 3,686,885.49
  5. Step 5: Solve for x
    x = 3,686,885.49/2,135.42
  6. Step 6: Final answer
    x = 1,726.54

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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.