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Finding the Fourth Proportional to 2,398.14, 3,308.04 and 1,806.84

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Solution

The fourth proportional to 2,398.14, 3,308.04 and 1,806.84 is: 2,492.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.14 : 3,308.04 = 1,806.84 : x
  2. Step 2: Convert to fraction form
    2,398.14/3,308.04 = 1,806.84/x
  3. Step 3: Cross multiply
    2,398.14x = 3,308.04 × 1,806.84
  4. Step 4: Simplify right side
    2,398.14x = 5,977,098.99
  5. Step 5: Solve for x
    x = 5,977,098.99/2,398.14
  6. Step 6: Final answer
    x = 2,492.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.