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Finding the Fourth Proportional to 2,807.69, 4,205.50 and 2,278.22

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Solution

The fourth proportional to 2,807.69, 4,205.50 and 2,278.22 is: 3,412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.69 : 4,205.50 = 2,278.22 : x
  2. Step 2: Convert to fraction form
    2,807.69/4,205.50 = 2,278.22/x
  3. Step 3: Cross multiply
    2,807.69x = 4,205.50 × 2,278.22
  4. Step 4: Simplify right side
    2,807.69x = 9,581,054.21
  5. Step 5: Solve for x
    x = 9,581,054.21/2,807.69
  6. Step 6: Final answer
    x = 3,412.43

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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.