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Finding the Fourth Proportional to 3,197.46, 4,412.49 and 1,870.90

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Solution

The fourth proportional to 3,197.46, 4,412.49 and 1,870.90 is: 2,581.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.46 : 4,412.49 = 1,870.90 : x
  2. Step 2: Convert to fraction form
    3,197.46/4,412.49 = 1,870.90/x
  3. Step 3: Cross multiply
    3,197.46x = 4,412.49 × 1,870.90
  4. Step 4: Simplify right side
    3,197.46x = 8,255,327.54
  5. Step 5: Solve for x
    x = 8,255,327.54/3,197.46
  6. Step 6: Final answer
    x = 2,581.84

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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.