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Finding the Fourth Proportional to 2,407.11, 3,323.69 and 1,846.69

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Solution

The fourth proportional to 2,407.11, 3,323.69 and 1,846.69 is: 2,549.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.11 : 3,323.69 = 1,846.69 : x
  2. Step 2: Convert to fraction form
    2,407.11/3,323.69 = 1,846.69/x
  3. Step 3: Cross multiply
    2,407.11x = 3,323.69 × 1,846.69
  4. Step 4: Simplify right side
    2,407.11x = 6,137,825.09
  5. Step 5: Solve for x
    x = 6,137,825.09/2,407.11
  6. Step 6: Final answer
    x = 2,549.87

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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.