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Finding the Fourth Proportional to 3,005.70, 4,507.20 and 1,156.20

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Solution

The fourth proportional to 3,005.70, 4,507.20 and 1,156.20 is: 1,733.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.70 : 4,507.20 = 1,156.20 : x
  2. Step 2: Convert to fraction form
    3,005.70/4,507.20 = 1,156.20/x
  3. Step 3: Cross multiply
    3,005.70x = 4,507.20 × 1,156.20
  4. Step 4: Simplify right side
    3,005.70x = 5,211,224.64
  5. Step 5: Solve for x
    x = 5,211,224.64/3,005.70
  6. Step 6: Final answer
    x = 1,733.78

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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.