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Finding the Fourth Proportional to 2,476.82, 3,716.88 and 1,862

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Solution

The fourth proportional to 2,476.82, 3,716.88 and 1,862 is: 2,794.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.82 : 3,716.88 = 1,862 : x
  2. Step 2: Convert to fraction form
    2,476.82/3,716.88 = 1,862/x
  3. Step 3: Cross multiply
    2,476.82x = 3,716.88 × 1,862
  4. Step 4: Simplify right side
    2,476.82x = 6,920,830.56
  5. Step 5: Solve for x
    x = 6,920,830.56/2,476.82
  6. Step 6: Final answer
    x = 2,794.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.