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Finding the Fourth Proportional to 2,106.68, 2,911.08 and 2,005.52

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Solution

The fourth proportional to 2,106.68, 2,911.08 and 2,005.52 is: 2,771.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.68 : 2,911.08 = 2,005.52 : x
  2. Step 2: Convert to fraction form
    2,106.68/2,911.08 = 2,005.52/x
  3. Step 3: Cross multiply
    2,106.68x = 2,911.08 × 2,005.52
  4. Step 4: Simplify right side
    2,106.68x = 5,838,229.16
  5. Step 5: Solve for x
    x = 5,838,229.16/2,106.68
  6. Step 6: Final answer
    x = 2,771.29

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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.