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Finding the Fourth Proportional to 3,005.57, 4,509.05 and 1,057.79

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Solution

The fourth proportional to 3,005.57, 4,509.05 and 1,057.79 is: 1,586.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.57 : 4,509.05 = 1,057.79 : x
  2. Step 2: Convert to fraction form
    3,005.57/4,509.05 = 1,057.79/x
  3. Step 3: Cross multiply
    3,005.57x = 4,509.05 × 1,057.79
  4. Step 4: Simplify right side
    3,005.57x = 4,769,633.98
  5. Step 5: Solve for x
    x = 4,769,633.98/3,005.57
  6. Step 6: Final answer
    x = 1,586.93

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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.