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Finding the Fourth Proportional to 3,006.50, 4,509.88 and 815.23

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Solution

The fourth proportional to 3,006.50, 4,509.88 and 815.23 is: 1,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.50 : 4,509.88 = 815.23 : x
  2. Step 2: Convert to fraction form
    3,006.50/4,509.88 = 815.23/x
  3. Step 3: Cross multiply
    3,006.50x = 4,509.88 × 815.23
  4. Step 4: Simplify right side
    3,006.50x = 3,676,586.14
  5. Step 5: Solve for x
    x = 3,676,586.14/3,006.50
  6. Step 6: Final answer
    x = 1,222.88

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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.