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Finding the Fourth Proportional to 2,164.59, 3,245.06 and 1,067.45

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Solution

The fourth proportional to 2,164.59, 3,245.06 and 1,067.45 is: 1,600.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.59 : 3,245.06 = 1,067.45 : x
  2. Step 2: Convert to fraction form
    2,164.59/3,245.06 = 1,067.45/x
  3. Step 3: Cross multiply
    2,164.59x = 3,245.06 × 1,067.45
  4. Step 4: Simplify right side
    2,164.59x = 3,463,925.74
  5. Step 5: Solve for x
    x = 3,463,925.74/2,164.59
  6. Step 6: Final answer
    x = 1,600.27

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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.