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Finding the Fourth Proportional to 1,290.98, 1,932.80 and 1,209.24

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Solution

The fourth proportional to 1,290.98, 1,932.80 and 1,209.24 is: 1,810.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.98 : 1,932.80 = 1,209.24 : x
  2. Step 2: Convert to fraction form
    1,290.98/1,932.80 = 1,209.24/x
  3. Step 3: Cross multiply
    1,290.98x = 1,932.80 × 1,209.24
  4. Step 4: Simplify right side
    1,290.98x = 2,337,213.03
  5. Step 5: Solve for x
    x = 2,337,213.03/1,290.98
  6. Step 6: Final answer
    x = 1,810.41

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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.