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Finding the Fourth Proportional to 1,948.71, 2,922.03 and 851.79

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Solution

The fourth proportional to 1,948.71, 2,922.03 and 851.79 is: 1,277.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.71 : 2,922.03 = 851.79 : x
  2. Step 2: Convert to fraction form
    1,948.71/2,922.03 = 851.79/x
  3. Step 3: Cross multiply
    1,948.71x = 2,922.03 × 851.79
  4. Step 4: Simplify right side
    1,948.71x = 2,488,955.93
  5. Step 5: Solve for x
    x = 2,488,955.93/1,948.71
  6. Step 6: Final answer
    x = 1,277.23

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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.