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Finding the Fourth Proportional to 3,199.56, 4,798.24 and 1,967.52

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Solution

The fourth proportional to 3,199.56, 4,798.24 and 1,967.52 is: 2,950.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.56 : 4,798.24 = 1,967.52 : x
  2. Step 2: Convert to fraction form
    3,199.56/4,798.24 = 1,967.52/x
  3. Step 3: Cross multiply
    3,199.56x = 4,798.24 × 1,967.52
  4. Step 4: Simplify right side
    3,199.56x = 9,440,633.16
  5. Step 5: Solve for x
    x = 9,440,633.16/3,199.56
  6. Step 6: Final answer
    x = 2,950.60

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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.