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Finding the Fourth Proportional to 3,453.16, 5,182.20 and 1,505.92

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Solution

The fourth proportional to 3,453.16, 5,182.20 and 1,505.92 is: 2,259.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.16 : 5,182.20 = 1,505.92 : x
  2. Step 2: Convert to fraction form
    3,453.16/5,182.20 = 1,505.92/x
  3. Step 3: Cross multiply
    3,453.16x = 5,182.20 × 1,505.92
  4. Step 4: Simplify right side
    3,453.16x = 7,803,978.62
  5. Step 5: Solve for x
    x = 7,803,978.62/3,453.16
  6. Step 6: Final answer
    x = 2,259.95

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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.