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Finding the Fourth Proportional to 1,297.80, 1,920.23 and 1,294.16

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Solution

The fourth proportional to 1,297.80, 1,920.23 and 1,294.16 is: 1,914.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.80 : 1,920.23 = 1,294.16 : x
  2. Step 2: Convert to fraction form
    1,297.80/1,920.23 = 1,294.16/x
  3. Step 3: Cross multiply
    1,297.80x = 1,920.23 × 1,294.16
  4. Step 4: Simplify right side
    1,297.80x = 2,485,084.86
  5. Step 5: Solve for x
    x = 2,485,084.86/1,297.80
  6. Step 6: Final answer
    x = 1,914.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.