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Finding the Fourth Proportional to 1,950.74, 2,922.25 and 1,024.91

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Solution

The fourth proportional to 1,950.74, 2,922.25 and 1,024.91 is: 1,535.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.74 : 2,922.25 = 1,024.91 : x
  2. Step 2: Convert to fraction form
    1,950.74/2,922.25 = 1,024.91/x
  3. Step 3: Cross multiply
    1,950.74x = 2,922.25 × 1,024.91
  4. Step 4: Simplify right side
    1,950.74x = 2,995,043.25
  5. Step 5: Solve for x
    x = 2,995,043.25/1,950.74
  6. Step 6: Final answer
    x = 1,535.34

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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.