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Finding the Fourth Proportional to 2,469.06, 3,703.82 and 780.35

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Solution

The fourth proportional to 2,469.06, 3,703.82 and 780.35 is: 1,170.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.06 : 3,703.82 = 780.35 : x
  2. Step 2: Convert to fraction form
    2,469.06/3,703.82 = 780.35/x
  3. Step 3: Cross multiply
    2,469.06x = 3,703.82 × 780.35
  4. Step 4: Simplify right side
    2,469.06x = 2,890,253.52
  5. Step 5: Solve for x
    x = 2,890,253.52/2,469.06
  6. Step 6: Final answer
    x = 1,170.59

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1.5x scale

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.