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Finding the Fourth Proportional to 2,071.44, 3,107.28 and 772.92

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Solution

The fourth proportional to 2,071.44, 3,107.28 and 772.92 is: 1,159.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.44 : 3,107.28 = 772.92 : x
  2. Step 2: Convert to fraction form
    2,071.44/3,107.28 = 772.92/x
  3. Step 3: Cross multiply
    2,071.44x = 3,107.28 × 772.92
  4. Step 4: Simplify right side
    2,071.44x = 2,401,678.86
  5. Step 5: Solve for x
    x = 2,401,678.86/2,071.44
  6. Step 6: Final answer
    x = 1,159.42

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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.