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Finding the Fourth Proportional to 2,758.09, 4,137.13 and 1,296.17

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Solution

The fourth proportional to 2,758.09, 4,137.13 and 1,296.17 is: 1,944.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.09 : 4,137.13 = 1,296.17 : x
  2. Step 2: Convert to fraction form
    2,758.09/4,137.13 = 1,296.17/x
  3. Step 3: Cross multiply
    2,758.09x = 4,137.13 × 1,296.17
  4. Step 4: Simplify right side
    2,758.09x = 5,362,423.79
  5. Step 5: Solve for x
    x = 5,362,423.79/2,758.09
  6. Step 6: Final answer
    x = 1,944.26

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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.