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Finding the Fourth Proportional to 1,650.70, 2,278.20 and 1,062.94

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Solution

The fourth proportional to 1,650.70, 2,278.20 and 1,062.94 is: 1,467.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.70 : 2,278.20 = 1,062.94 : x
  2. Step 2: Convert to fraction form
    1,650.70/2,278.20 = 1,062.94/x
  3. Step 3: Cross multiply
    1,650.70x = 2,278.20 × 1,062.94
  4. Step 4: Simplify right side
    1,650.70x = 2,421,589.91
  5. Step 5: Solve for x
    x = 2,421,589.91/1,650.70
  6. Step 6: Final answer
    x = 1,467.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.