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Finding the Fourth Proportional to 1,749.74, 2,611.80 and 1,542.15

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Solution

The fourth proportional to 1,749.74, 2,611.80 and 1,542.15 is: 2,301.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.74 : 2,611.80 = 1,542.15 : x
  2. Step 2: Convert to fraction form
    1,749.74/2,611.80 = 1,542.15/x
  3. Step 3: Cross multiply
    1,749.74x = 2,611.80 × 1,542.15
  4. Step 4: Simplify right side
    1,749.74x = 4,027,787.37
  5. Step 5: Solve for x
    x = 4,027,787.37/1,749.74
  6. Step 6: Final answer
    x = 2,301.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.