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Finding the Fourth Proportional to 2,074.65, 3,112.48 and 1,035.15

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Solution

The fourth proportional to 2,074.65, 3,112.48 and 1,035.15 is: 1,552.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.65 : 3,112.48 = 1,035.15 : x
  2. Step 2: Convert to fraction form
    2,074.65/3,112.48 = 1,035.15/x
  3. Step 3: Cross multiply
    2,074.65x = 3,112.48 × 1,035.15
  4. Step 4: Simplify right side
    2,074.65x = 3,221,867.47
  5. Step 5: Solve for x
    x = 3,221,867.47/2,074.65
  6. Step 6: Final answer
    x = 1,552.97

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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.