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Finding the Fourth Proportional to 1,920.82, 2,880.94 and 534.26

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Solution

The fourth proportional to 1,920.82, 2,880.94 and 534.26 is: 801.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.82 : 2,880.94 = 534.26 : x
  2. Step 2: Convert to fraction form
    1,920.82/2,880.94 = 534.26/x
  3. Step 3: Cross multiply
    1,920.82x = 2,880.94 × 534.26
  4. Step 4: Simplify right side
    1,920.82x = 1,539,171.00
  5. Step 5: Solve for x
    x = 1,539,171.00/1,920.82
  6. Step 6: Final answer
    x = 801.31

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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.