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Finding the Fourth Proportional to 3,196.78, 4,412.13 and 1,870.40

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Solution

The fourth proportional to 3,196.78, 4,412.13 and 1,870.40 is: 2,581.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.78 : 4,412.13 = 1,870.40 : x
  2. Step 2: Convert to fraction form
    3,196.78/4,412.13 = 1,870.40/x
  3. Step 3: Cross multiply
    3,196.78x = 4,412.13 × 1,870.40
  4. Step 4: Simplify right side
    3,196.78x = 8,252,447.95
  5. Step 5: Solve for x
    x = 8,252,447.95/3,196.78
  6. Step 6: Final answer
    x = 2,581.49

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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.