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Finding the Fourth Proportional to 2,479.04, 3,718.58 and 813.14

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Solution

The fourth proportional to 2,479.04, 3,718.58 and 813.14 is: 1,219.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479.04 : 3,718.58 = 813.14 : x
  2. Step 2: Convert to fraction form
    2,479.04/3,718.58 = 813.14/x
  3. Step 3: Cross multiply
    2,479.04x = 3,718.58 × 813.14
  4. Step 4: Simplify right side
    2,479.04x = 3,023,703.48
  5. Step 5: Solve for x
    x = 3,023,703.48/2,479.04
  6. Step 6: Final answer
    x = 1,219.71

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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.