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Finding the Fourth Proportional to 2,347.68, 3,511.17 and 2,089.38

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Solution

The fourth proportional to 2,347.68, 3,511.17 and 2,089.38 is: 3,124.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.68 : 3,511.17 = 2,089.38 : x
  2. Step 2: Convert to fraction form
    2,347.68/3,511.17 = 2,089.38/x
  3. Step 3: Cross multiply
    2,347.68x = 3,511.17 × 2,089.38
  4. Step 4: Simplify right side
    2,347.68x = 7,336,168.37
  5. Step 5: Solve for x
    x = 7,336,168.37/2,347.68
  6. Step 6: Final answer
    x = 3,124.86

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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.