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Finding the Fourth Proportional to 1,399.92, 1,920.54 and 1,311.60

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Solution

The fourth proportional to 1,399.92, 1,920.54 and 1,311.60 is: 1,799.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.92 : 1,920.54 = 1,311.60 : x
  2. Step 2: Convert to fraction form
    1,399.92/1,920.54 = 1,311.60/x
  3. Step 3: Cross multiply
    1,399.92x = 1,920.54 × 1,311.60
  4. Step 4: Simplify right side
    1,399.92x = 2,518,980.26
  5. Step 5: Solve for x
    x = 2,518,980.26/1,399.92
  6. Step 6: Final answer
    x = 1,799.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.