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Finding the Fourth Proportional to 3,006.42, 4,509.86 and 815.33

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Solution

The fourth proportional to 3,006.42, 4,509.86 and 815.33 is: 1,223.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.42 : 4,509.86 = 815.33 : x
  2. Step 2: Convert to fraction form
    3,006.42/4,509.86 = 815.33/x
  3. Step 3: Cross multiply
    3,006.42x = 4,509.86 × 815.33
  4. Step 4: Simplify right side
    3,006.42x = 3,676,997.53
  5. Step 5: Solve for x
    x = 3,676,997.53/3,006.42
  6. Step 6: Final answer
    x = 1,223.05

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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.