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Finding the Fourth Proportional to 3,284.80, 4,926.48 and 944.80

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Solution

The fourth proportional to 3,284.80, 4,926.48 and 944.80 is: 1,416.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.80 : 4,926.48 = 944.80 : x
  2. Step 2: Convert to fraction form
    3,284.80/4,926.48 = 944.80/x
  3. Step 3: Cross multiply
    3,284.80x = 4,926.48 × 944.80
  4. Step 4: Simplify right side
    3,284.80x = 4,654,538.30
  5. Step 5: Solve for x
    x = 4,654,538.30/3,284.80
  6. Step 6: Final answer
    x = 1,416.99

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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.