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Finding the Fourth Proportional to 1,928.82, 2,893.72 and 542.17

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Solution

The fourth proportional to 1,928.82, 2,893.72 and 542.17 is: 813.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.82 : 2,893.72 = 542.17 : x
  2. Step 2: Convert to fraction form
    1,928.82/2,893.72 = 542.17/x
  3. Step 3: Cross multiply
    1,928.82x = 2,893.72 × 542.17
  4. Step 4: Simplify right side
    1,928.82x = 1,568,888.17
  5. Step 5: Solve for x
    x = 1,568,888.17/1,928.82
  6. Step 6: Final answer
    x = 813.39

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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.