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Finding the Fourth Proportional to 3,132.44, 4,705.44 and 2,036.24

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Solution

The fourth proportional to 3,132.44, 4,705.44 and 2,036.24 is: 3,058.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.44 : 4,705.44 = 2,036.24 : x
  2. Step 2: Convert to fraction form
    3,132.44/4,705.44 = 2,036.24/x
  3. Step 3: Cross multiply
    3,132.44x = 4,705.44 × 2,036.24
  4. Step 4: Simplify right side
    3,132.44x = 9,581,405.15
  5. Step 5: Solve for x
    x = 9,581,405.15/3,132.44
  6. Step 6: Final answer
    x = 3,058.77

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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.