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Finding the Fourth Proportional to 1,759.83, 2,641.34 and 938.80

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Solution

The fourth proportional to 1,759.83, 2,641.34 and 938.80 is: 1,409.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.83 : 2,641.34 = 938.80 : x
  2. Step 2: Convert to fraction form
    1,759.83/2,641.34 = 938.80/x
  3. Step 3: Cross multiply
    1,759.83x = 2,641.34 × 938.80
  4. Step 4: Simplify right side
    1,759.83x = 2,479,689.99
  5. Step 5: Solve for x
    x = 2,479,689.99/1,759.83
  6. Step 6: Final answer
    x = 1,409.05

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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.