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Finding the Fourth Proportional to 2,807.44, 4,208.12 and 1,162.94

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Solution

The fourth proportional to 2,807.44, 4,208.12 and 1,162.94 is: 1,743.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.44 : 4,208.12 = 1,162.94 : x
  2. Step 2: Convert to fraction form
    2,807.44/4,208.12 = 1,162.94/x
  3. Step 3: Cross multiply
    2,807.44x = 4,208.12 × 1,162.94
  4. Step 4: Simplify right side
    2,807.44x = 4,893,791.07
  5. Step 5: Solve for x
    x = 4,893,791.07/2,807.44
  6. Step 6: Final answer
    x = 1,743.15

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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.