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Finding the Fourth Proportional to 3,035.93, 4,553.57 and 814.99

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Solution

The fourth proportional to 3,035.93, 4,553.57 and 814.99 is: 1,222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,035.93 : 4,553.57 = 814.99 : x
  2. Step 2: Convert to fraction form
    3,035.93/4,553.57 = 814.99/x
  3. Step 3: Cross multiply
    3,035.93x = 4,553.57 × 814.99
  4. Step 4: Simplify right side
    3,035.93x = 3,711,104.67
  5. Step 5: Solve for x
    x = 3,711,104.67/3,035.93
  6. Step 6: Final answer
    x = 1,222.39

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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.