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Finding the Fourth Proportional to 3,044.25, 4,566.38 and 735.75

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Solution

The fourth proportional to 3,044.25, 4,566.38 and 735.75 is: 1,103.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.25 : 4,566.38 = 735.75 : x
  2. Step 2: Convert to fraction form
    3,044.25/4,566.38 = 735.75/x
  3. Step 3: Cross multiply
    3,044.25x = 4,566.38 × 735.75
  4. Step 4: Simplify right side
    3,044.25x = 3,359,710.41
  5. Step 5: Solve for x
    x = 3,359,710.41/3,044.25
  6. Step 6: Final answer
    x = 1,103.63

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Similar ratio
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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.