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Finding the Fourth Proportional to 1,780.07, 2,669.91 and 739.41

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Solution

The fourth proportional to 1,780.07, 2,669.91 and 739.41 is: 1,109.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.07 : 2,669.91 = 739.41 : x
  2. Step 2: Convert to fraction form
    1,780.07/2,669.91 = 739.41/x
  3. Step 3: Cross multiply
    1,780.07x = 2,669.91 × 739.41
  4. Step 4: Simplify right side
    1,780.07x = 1,974,158.15
  5. Step 5: Solve for x
    x = 1,974,158.15/1,780.07
  6. Step 6: Final answer
    x = 1,109.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.