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Finding the Fourth Proportional to 1,893.30, 2,839.96 and 577.06

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Solution

The fourth proportional to 1,893.30, 2,839.96 and 577.06 is: 865.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.30 : 2,839.96 = 577.06 : x
  2. Step 2: Convert to fraction form
    1,893.30/2,839.96 = 577.06/x
  3. Step 3: Cross multiply
    1,893.30x = 2,839.96 × 577.06
  4. Step 4: Simplify right side
    1,893.30x = 1,638,827.32
  5. Step 5: Solve for x
    x = 1,638,827.32/1,893.30
  6. Step 6: Final answer
    x = 865.59

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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.