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Finding the Fourth Proportional to 1,308.80, 1,960.80 and 1,102.40

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Solution

The fourth proportional to 1,308.80, 1,960.80 and 1,102.40 is: 1,651.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.80 : 1,960.80 = 1,102.40 : x
  2. Step 2: Convert to fraction form
    1,308.80/1,960.80 = 1,102.40/x
  3. Step 3: Cross multiply
    1,308.80x = 1,960.80 × 1,102.40
  4. Step 4: Simplify right side
    1,308.80x = 2,161,585.92
  5. Step 5: Solve for x
    x = 2,161,585.92/1,308.80
  6. Step 6: Final answer
    x = 1,651.58

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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.