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Finding the Fourth Proportional to 1,954.15, 2,930.76 and 567.12

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Solution

The fourth proportional to 1,954.15, 2,930.76 and 567.12 is: 850.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.15 : 2,930.76 = 567.12 : x
  2. Step 2: Convert to fraction form
    1,954.15/2,930.76 = 567.12/x
  3. Step 3: Cross multiply
    1,954.15x = 2,930.76 × 567.12
  4. Step 4: Simplify right side
    1,954.15x = 1,662,092.61
  5. Step 5: Solve for x
    x = 1,662,092.61/1,954.15
  6. Step 6: Final answer
    x = 850.55

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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.