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Finding the Fourth Proportional to 2,065.48, 3,099.56 and 1,141.68

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Solution

The fourth proportional to 2,065.48, 3,099.56 and 1,141.68 is: 1,713.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.48 : 3,099.56 = 1,141.68 : x
  2. Step 2: Convert to fraction form
    2,065.48/3,099.56 = 1,141.68/x
  3. Step 3: Cross multiply
    2,065.48x = 3,099.56 × 1,141.68
  4. Step 4: Simplify right side
    2,065.48x = 3,538,705.66
  5. Step 5: Solve for x
    x = 3,538,705.66/2,065.48
  6. Step 6: Final answer
    x = 1,713.26

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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.