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Finding the Fourth Proportional to 2,448.09, 3,672.59 and 805.11

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Solution

The fourth proportional to 2,448.09, 3,672.59 and 805.11 is: 1,207.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.09 : 3,672.59 = 805.11 : x
  2. Step 2: Convert to fraction form
    2,448.09/3,672.59 = 805.11/x
  3. Step 3: Cross multiply
    2,448.09x = 3,672.59 × 805.11
  4. Step 4: Simplify right side
    2,448.09x = 2,956,838.93
  5. Step 5: Solve for x
    x = 2,956,838.93/2,448.09
  6. Step 6: Final answer
    x = 1,207.81

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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.