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Finding the Fourth Proportional to 2,396.82, 3,595.68 and 916.17

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Solution

The fourth proportional to 2,396.82, 3,595.68 and 916.17 is: 1,374.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.82 : 3,595.68 = 916.17 : x
  2. Step 2: Convert to fraction form
    2,396.82/3,595.68 = 916.17/x
  3. Step 3: Cross multiply
    2,396.82x = 3,595.68 × 916.17
  4. Step 4: Simplify right side
    2,396.82x = 3,294,254.15
  5. Step 5: Solve for x
    x = 3,294,254.15/2,396.82
  6. Step 6: Final answer
    x = 1,374.43

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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.