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Finding the Fourth Proportional to 3,197.43, 4,410.95 and 1,870.31

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Solution

The fourth proportional to 3,197.43, 4,410.95 and 1,870.31 is: 2,580.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.43 : 4,410.95 = 1,870.31 : x
  2. Step 2: Convert to fraction form
    3,197.43/4,410.95 = 1,870.31/x
  3. Step 3: Cross multiply
    3,197.43x = 4,410.95 × 1,870.31
  4. Step 4: Simplify right side
    3,197.43x = 8,249,845.57
  5. Step 5: Solve for x
    x = 8,249,845.57/3,197.43
  6. Step 6: Final answer
    x = 2,580.15

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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.