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Finding the Fourth Proportional to 1,893.06, 2,839.95 and 594.90

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Solution

The fourth proportional to 1,893.06, 2,839.95 and 594.90 is: 892.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.06 : 2,839.95 = 594.90 : x
  2. Step 2: Convert to fraction form
    1,893.06/2,839.95 = 594.90/x
  3. Step 3: Cross multiply
    1,893.06x = 2,839.95 × 594.90
  4. Step 4: Simplify right side
    1,893.06x = 1,689,486.26
  5. Step 5: Solve for x
    x = 1,689,486.26/1,893.06
  6. Step 6: Final answer
    x = 892.46

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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.