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Finding the Fourth Proportional to 2,352.69, 3,511.86 and 2,181.38

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Solution

The fourth proportional to 2,352.69, 3,511.86 and 2,181.38 is: 3,256.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.69 : 3,511.86 = 2,181.38 : x
  2. Step 2: Convert to fraction form
    2,352.69/3,511.86 = 2,181.38/x
  3. Step 3: Cross multiply
    2,352.69x = 3,511.86 × 2,181.38
  4. Step 4: Simplify right side
    2,352.69x = 7,660,683.61
  5. Step 5: Solve for x
    x = 7,660,683.61/2,352.69
  6. Step 6: Final answer
    x = 3,256.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.