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Finding the Fourth Proportional to 2,065.72, 3,098.86 and 749.58

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Solution

The fourth proportional to 2,065.72, 3,098.86 and 749.58 is: 1,124.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.72 : 3,098.86 = 749.58 : x
  2. Step 2: Convert to fraction form
    2,065.72/3,098.86 = 749.58/x
  3. Step 3: Cross multiply
    2,065.72x = 3,098.86 × 749.58
  4. Step 4: Simplify right side
    2,065.72x = 2,322,843.48
  5. Step 5: Solve for x
    x = 2,322,843.48/2,065.72
  6. Step 6: Final answer
    x = 1,124.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.