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Finding the Fourth Proportional to 3,006.56, 4,507.61 and 1,524.64

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Solution

The fourth proportional to 3,006.56, 4,507.61 and 1,524.64 is: 2,285.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.56 : 4,507.61 = 1,524.64 : x
  2. Step 2: Convert to fraction form
    3,006.56/4,507.61 = 1,524.64/x
  3. Step 3: Cross multiply
    3,006.56x = 4,507.61 × 1,524.64
  4. Step 4: Simplify right side
    3,006.56x = 6,872,463.77
  5. Step 5: Solve for x
    x = 6,872,463.77/3,006.56
  6. Step 6: Final answer
    x = 2,285.83

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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.