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Finding the Fourth Proportional to 3,000.32, 4,494.51 and 1,828.88

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Solution

The fourth proportional to 3,000.32, 4,494.51 and 1,828.88 is: 2,739.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.32 : 4,494.51 = 1,828.88 : x
  2. Step 2: Convert to fraction form
    3,000.32/4,494.51 = 1,828.88/x
  3. Step 3: Cross multiply
    3,000.32x = 4,494.51 × 1,828.88
  4. Step 4: Simplify right side
    3,000.32x = 8,219,919.45
  5. Step 5: Solve for x
    x = 8,219,919.45/3,000.32
  6. Step 6: Final answer
    x = 2,739.68

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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.