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Finding the Fourth Proportional to 2,496.18, 3,742.04 and 1,034.40

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Solution

The fourth proportional to 2,496.18, 3,742.04 and 1,034.40 is: 1,550.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.18 : 3,742.04 = 1,034.40 : x
  2. Step 2: Convert to fraction form
    2,496.18/3,742.04 = 1,034.40/x
  3. Step 3: Cross multiply
    2,496.18x = 3,742.04 × 1,034.40
  4. Step 4: Simplify right side
    2,496.18x = 3,870,766.18
  5. Step 5: Solve for x
    x = 3,870,766.18/2,496.18
  6. Step 6: Final answer
    x = 1,550.68

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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.