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Finding the Fourth Proportional to 2,180.51, 3,271.16 and 795.79

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Solution

The fourth proportional to 2,180.51, 3,271.16 and 795.79 is: 1,193.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.51 : 3,271.16 = 795.79 : x
  2. Step 2: Convert to fraction form
    2,180.51/3,271.16 = 795.79/x
  3. Step 3: Cross multiply
    2,180.51x = 3,271.16 × 795.79
  4. Step 4: Simplify right side
    2,180.51x = 2,603,156.42
  5. Step 5: Solve for x
    x = 2,603,156.42/2,180.51
  6. Step 6: Final answer
    x = 1,193.83

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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.