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Finding the Fourth Proportional to 1,328.47, 1,993.31 and 1,306.60

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Solution

The fourth proportional to 1,328.47, 1,993.31 and 1,306.60 is: 1,960.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.47 : 1,993.31 = 1,306.60 : x
  2. Step 2: Convert to fraction form
    1,328.47/1,993.31 = 1,306.60/x
  3. Step 3: Cross multiply
    1,328.47x = 1,993.31 × 1,306.60
  4. Step 4: Simplify right side
    1,328.47x = 2,604,458.85
  5. Step 5: Solve for x
    x = 2,604,458.85/1,328.47
  6. Step 6: Final answer
    x = 1,960.50

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Why These Related Problems?

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