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Finding the Fourth Proportional to 2,482.56, 3,430.08 and 2,067.84

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Solution

The fourth proportional to 2,482.56, 3,430.08 and 2,067.84 is: 2,857.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.56 : 3,430.08 = 2,067.84 : x
  2. Step 2: Convert to fraction form
    2,482.56/3,430.08 = 2,067.84/x
  3. Step 3: Cross multiply
    2,482.56x = 3,430.08 × 2,067.84
  4. Step 4: Simplify right side
    2,482.56x = 7,092,856.63
  5. Step 5: Solve for x
    x = 7,092,856.63/2,482.56
  6. Step 6: Final answer
    x = 2,857.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.