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Finding the Fourth Proportional to 2,864.64, 4,299.12 and 2,097.12

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Solution

The fourth proportional to 2,864.64, 4,299.12 and 2,097.12 is: 3,147.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.64 : 4,299.12 = 2,097.12 : x
  2. Step 2: Convert to fraction form
    2,864.64/4,299.12 = 2,097.12/x
  3. Step 3: Cross multiply
    2,864.64x = 4,299.12 × 2,097.12
  4. Step 4: Simplify right side
    2,864.64x = 9,015,770.53
  5. Step 5: Solve for x
    x = 9,015,770.53/2,864.64
  6. Step 6: Final answer
    x = 3,147.26

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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.