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Finding the Fourth Proportional to 2,065.60, 3,098.40 and 1,960.30

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Solution

The fourth proportional to 2,065.60, 3,098.40 and 1,960.30 is: 2,940.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.60 : 3,098.40 = 1,960.30 : x
  2. Step 2: Convert to fraction form
    2,065.60/3,098.40 = 1,960.30/x
  3. Step 3: Cross multiply
    2,065.60x = 3,098.40 × 1,960.30
  4. Step 4: Simplify right side
    2,065.60x = 6,073,793.52
  5. Step 5: Solve for x
    x = 6,073,793.52/2,065.60
  6. Step 6: Final answer
    x = 2,940.45

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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.