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Finding the Fourth Proportional to 3,035.84, 4,553.60 and 844.58

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Solution

The fourth proportional to 3,035.84, 4,553.60 and 844.58 is: 1,266.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,035.84 : 4,553.60 = 844.58 : x
  2. Step 2: Convert to fraction form
    3,035.84/4,553.60 = 844.58/x
  3. Step 3: Cross multiply
    3,035.84x = 4,553.60 × 844.58
  4. Step 4: Simplify right side
    3,035.84x = 3,845,879.49
  5. Step 5: Solve for x
    x = 3,845,879.49/3,035.84
  6. Step 6: Final answer
    x = 1,266.83

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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.