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Finding the Fourth Proportional to 2,307.09, 3,183.80 and 1,259.16

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Solution

The fourth proportional to 2,307.09, 3,183.80 and 1,259.16 is: 1,737.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.09 : 3,183.80 = 1,259.16 : x
  2. Step 2: Convert to fraction form
    2,307.09/3,183.80 = 1,259.16/x
  3. Step 3: Cross multiply
    2,307.09x = 3,183.80 × 1,259.16
  4. Step 4: Simplify right side
    2,307.09x = 4,008,907.31
  5. Step 5: Solve for x
    x = 4,008,907.31/2,307.09
  6. Step 6: Final answer
    x = 1,737.65

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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.