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Finding the Fourth Proportional to 3,196.82, 4,411.30 and 1,870.27

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Solution

The fourth proportional to 3,196.82, 4,411.30 and 1,870.27 is: 2,580.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.82 : 4,411.30 = 1,870.27 : x
  2. Step 2: Convert to fraction form
    3,196.82/4,411.30 = 1,870.27/x
  3. Step 3: Cross multiply
    3,196.82x = 4,411.30 × 1,870.27
  4. Step 4: Simplify right side
    3,196.82x = 8,250,290.64
  5. Step 5: Solve for x
    x = 8,250,290.64/3,196.82
  6. Step 6: Final answer
    x = 2,580.78

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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.