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Finding the Fourth Proportional to 1,962.25, 2,943.38 and 594.25

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Solution

The fourth proportional to 1,962.25, 2,943.38 and 594.25 is: 891.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.25 : 2,943.38 = 594.25 : x
  2. Step 2: Convert to fraction form
    1,962.25/2,943.38 = 594.25/x
  3. Step 3: Cross multiply
    1,962.25x = 2,943.38 × 594.25
  4. Step 4: Simplify right side
    1,962.25x = 1,749,103.57
  5. Step 5: Solve for x
    x = 1,749,103.57/1,962.25
  6. Step 6: Final answer
    x = 891.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.