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Finding the Fourth Proportional to 2,074.53, 3,112.14 and 1,034.57

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Solution

The fourth proportional to 2,074.53, 3,112.14 and 1,034.57 is: 1,552.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.53 : 3,112.14 = 1,034.57 : x
  2. Step 2: Convert to fraction form
    2,074.53/3,112.14 = 1,034.57/x
  3. Step 3: Cross multiply
    2,074.53x = 3,112.14 × 1,034.57
  4. Step 4: Simplify right side
    2,074.53x = 3,219,719.11
  5. Step 5: Solve for x
    x = 3,219,719.11/2,074.53
  6. Step 6: Final answer
    x = 1,552.02

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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.