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Finding the Fourth Proportional to 3,006.41, 4,509.86 and 815.13

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Solution

The fourth proportional to 3,006.41, 4,509.86 and 815.13 is: 1,222.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.41 : 4,509.86 = 815.13 : x
  2. Step 2: Convert to fraction form
    3,006.41/4,509.86 = 815.13/x
  3. Step 3: Cross multiply
    3,006.41x = 4,509.86 × 815.13
  4. Step 4: Simplify right side
    3,006.41x = 3,676,118.11
  5. Step 5: Solve for x
    x = 3,676,118.11/3,006.41
  6. Step 6: Final answer
    x = 1,222.76

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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.