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Finding the Fourth Proportional to 2,137.52, 2,949.88 and 1,206.08

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Solution

The fourth proportional to 2,137.52, 2,949.88 and 1,206.08 is: 1,664.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.52 : 2,949.88 = 1,206.08 : x
  2. Step 2: Convert to fraction form
    2,137.52/2,949.88 = 1,206.08/x
  3. Step 3: Cross multiply
    2,137.52x = 2,949.88 × 1,206.08
  4. Step 4: Simplify right side
    2,137.52x = 3,557,791.27
  5. Step 5: Solve for x
    x = 3,557,791.27/2,137.52
  6. Step 6: Final answer
    x = 1,664.45

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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.