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Finding the Fourth Proportional to 2,257.07, 3,385.89 and 795.93

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Solution

The fourth proportional to 2,257.07, 3,385.89 and 795.93 is: 1,193.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.07 : 3,385.89 = 795.93 : x
  2. Step 2: Convert to fraction form
    2,257.07/3,385.89 = 795.93/x
  3. Step 3: Cross multiply
    2,257.07x = 3,385.89 × 795.93
  4. Step 4: Simplify right side
    2,257.07x = 2,694,927.45
  5. Step 5: Solve for x
    x = 2,694,927.45/2,257.07
  6. Step 6: Final answer
    x = 1,193.99

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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.