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Finding the Fourth Proportional to 2,306.68, 3,460.71 and 1,074.82

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Solution

The fourth proportional to 2,306.68, 3,460.71 and 1,074.82 is: 1,612.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.68 : 3,460.71 = 1,074.82 : x
  2. Step 2: Convert to fraction form
    2,306.68/3,460.71 = 1,074.82/x
  3. Step 3: Cross multiply
    2,306.68x = 3,460.71 × 1,074.82
  4. Step 4: Simplify right side
    2,306.68x = 3,719,640.32
  5. Step 5: Solve for x
    x = 3,719,640.32/2,306.68
  6. Step 6: Final answer
    x = 1,612.55

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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.