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Finding the Fourth Proportional to 2,256.12, 3,385.08 and 795.42

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Solution

The fourth proportional to 2,256.12, 3,385.08 and 795.42 is: 1,193.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.12 : 3,385.08 = 795.42 : x
  2. Step 2: Convert to fraction form
    2,256.12/3,385.08 = 795.42/x
  3. Step 3: Cross multiply
    2,256.12x = 3,385.08 × 795.42
  4. Step 4: Simplify right side
    2,256.12x = 2,692,560.33
  5. Step 5: Solve for x
    x = 2,692,560.33/2,256.12
  6. Step 6: Final answer
    x = 1,193.45

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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.