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Finding the Fourth Proportional to 2,106.68, 3,161.93 and 1,067.40

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Solution

The fourth proportional to 2,106.68, 3,161.93 and 1,067.40 is: 1,602.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.68 : 3,161.93 = 1,067.40 : x
  2. Step 2: Convert to fraction form
    2,106.68/3,161.93 = 1,067.40/x
  3. Step 3: Cross multiply
    2,106.68x = 3,161.93 × 1,067.40
  4. Step 4: Simplify right side
    2,106.68x = 3,375,038.75
  5. Step 5: Solve for x
    x = 3,375,038.75/2,106.68
  6. Step 6: Final answer
    x = 1,602.07

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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.