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Finding the Fourth Proportional to 1,759.08, 2,638.91 and 785.15

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Solution

The fourth proportional to 1,759.08, 2,638.91 and 785.15 is: 1,177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.08 : 2,638.91 = 785.15 : x
  2. Step 2: Convert to fraction form
    1,759.08/2,638.91 = 785.15/x
  3. Step 3: Cross multiply
    1,759.08x = 2,638.91 × 785.15
  4. Step 4: Simplify right side
    1,759.08x = 2,071,928.95
  5. Step 5: Solve for x
    x = 2,071,928.95/1,759.08
  6. Step 6: Final answer
    x = 1,177.85

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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.