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Finding the Fourth Proportional to 2,479.06, 3,718.05 and 1,162

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Solution

The fourth proportional to 2,479.06, 3,718.05 and 1,162 is: 1,742.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479.06 : 3,718.05 = 1,162 : x
  2. Step 2: Convert to fraction form
    2,479.06/3,718.05 = 1,162/x
  3. Step 3: Cross multiply
    2,479.06x = 3,718.05 × 1,162
  4. Step 4: Simplify right side
    2,479.06x = 4,320,374.10
  5. Step 5: Solve for x
    x = 4,320,374.10/2,479.06
  6. Step 6: Final answer
    x = 1,742.75

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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.