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Finding the Fourth Proportional to 2,107.52, 2,908.26 and 1,176.08

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Solution

The fourth proportional to 2,107.52, 2,908.26 and 1,176.08 is: 1,622.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.52 : 2,908.26 = 1,176.08 : x
  2. Step 2: Convert to fraction form
    2,107.52/2,908.26 = 1,176.08/x
  3. Step 3: Cross multiply
    2,107.52x = 2,908.26 × 1,176.08
  4. Step 4: Simplify right side
    2,107.52x = 3,420,346.42
  5. Step 5: Solve for x
    x = 3,420,346.42/2,107.52
  6. Step 6: Final answer
    x = 1,622.92

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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.