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Finding the Fourth Proportional to 2,476.74, 3,414.30 and 1,886.22

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Solution

The fourth proportional to 2,476.74, 3,414.30 and 1,886.22 is: 2,600.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.74 : 3,414.30 = 1,886.22 : x
  2. Step 2: Convert to fraction form
    2,476.74/3,414.30 = 1,886.22/x
  3. Step 3: Cross multiply
    2,476.74x = 3,414.30 × 1,886.22
  4. Step 4: Simplify right side
    2,476.74x = 6,440,120.95
  5. Step 5: Solve for x
    x = 6,440,120.95/2,476.74
  6. Step 6: Final answer
    x = 2,600.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.