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Finding the Fourth Proportional to 2,134.82, 3,177.35 and 2,114.30

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Solution

The fourth proportional to 2,134.82, 3,177.35 and 2,114.30 is: 3,146.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.82 : 3,177.35 = 2,114.30 : x
  2. Step 2: Convert to fraction form
    2,134.82/3,177.35 = 2,114.30/x
  3. Step 3: Cross multiply
    2,134.82x = 3,177.35 × 2,114.30
  4. Step 4: Simplify right side
    2,134.82x = 6,717,860.50
  5. Step 5: Solve for x
    x = 6,717,860.50/2,134.82
  6. Step 6: Final answer
    x = 3,146.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.