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Finding the Fourth Proportional to 2,595.97, 3,893.91 and 648.15

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Solution

The fourth proportional to 2,595.97, 3,893.91 and 648.15 is: 972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.97 : 3,893.91 = 648.15 : x
  2. Step 2: Convert to fraction form
    2,595.97/3,893.91 = 648.15/x
  3. Step 3: Cross multiply
    2,595.97x = 3,893.91 × 648.15
  4. Step 4: Simplify right side
    2,595.97x = 2,523,837.77
  5. Step 5: Solve for x
    x = 2,523,837.77/2,595.97
  6. Step 6: Final answer
    x = 972.21

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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.