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Finding the Fourth Proportional to 2,641.07, 3,643.09 and 1,744.81

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Solution

The fourth proportional to 2,641.07, 3,643.09 and 1,744.81 is: 2,406.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.07 : 3,643.09 = 1,744.81 : x
  2. Step 2: Convert to fraction form
    2,641.07/3,643.09 = 1,744.81/x
  3. Step 3: Cross multiply
    2,641.07x = 3,643.09 × 1,744.81
  4. Step 4: Simplify right side
    2,641.07x = 6,356,499.86
  5. Step 5: Solve for x
    x = 6,356,499.86/2,641.07
  6. Step 6: Final answer
    x = 2,406.79

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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.