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Finding the Fourth Proportional to 2,447.52, 3,674.91 and 2,411.07

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Solution

The fourth proportional to 2,447.52, 3,674.91 and 2,411.07 is: 3,620.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.52 : 3,674.91 = 2,411.07 : x
  2. Step 2: Convert to fraction form
    2,447.52/3,674.91 = 2,411.07/x
  3. Step 3: Cross multiply
    2,447.52x = 3,674.91 × 2,411.07
  4. Step 4: Simplify right side
    2,447.52x = 8,860,465.25
  5. Step 5: Solve for x
    x = 8,860,465.25/2,447.52
  6. Step 6: Final answer
    x = 3,620.18

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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.