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Finding the Fourth Proportional to 1,862.47, 2,791.31 and 984.94

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Solution

The fourth proportional to 1,862.47, 2,791.31 and 984.94 is: 1,476.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.47 : 2,791.31 = 984.94 : x
  2. Step 2: Convert to fraction form
    1,862.47/2,791.31 = 984.94/x
  3. Step 3: Cross multiply
    1,862.47x = 2,791.31 × 984.94
  4. Step 4: Simplify right side
    1,862.47x = 2,749,258.91
  5. Step 5: Solve for x
    x = 2,749,258.91/1,862.47
  6. Step 6: Final answer
    x = 1,476.14

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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.