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Finding the Fourth Proportional to 2,131.70, 3,197.55 and 2,030.90

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Solution

The fourth proportional to 2,131.70, 3,197.55 and 2,030.90 is: 3,046.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.70 : 3,197.55 = 2,030.90 : x
  2. Step 2: Convert to fraction form
    2,131.70/3,197.55 = 2,030.90/x
  3. Step 3: Cross multiply
    2,131.70x = 3,197.55 × 2,030.90
  4. Step 4: Simplify right side
    2,131.70x = 6,493,904.30
  5. Step 5: Solve for x
    x = 6,493,904.30/2,131.70
  6. Step 6: Final answer
    x = 3,046.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.