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Finding the Fourth Proportional to 2,447.41, 3,672.93 and 1,352.71

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Solution

The fourth proportional to 2,447.41, 3,672.93 and 1,352.71 is: 2,030.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.41 : 3,672.93 = 1,352.71 : x
  2. Step 2: Convert to fraction form
    2,447.41/3,672.93 = 1,352.71/x
  3. Step 3: Cross multiply
    2,447.41x = 3,672.93 × 1,352.71
  4. Step 4: Simplify right side
    2,447.41x = 4,968,409.14
  5. Step 5: Solve for x
    x = 4,968,409.14/2,447.41
  6. Step 6: Final answer
    x = 2,030.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.