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Finding the Fourth Proportional to 2,137.62, 2,949.96 and 1,193.42

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Solution

The fourth proportional to 2,137.62, 2,949.96 and 1,193.42 is: 1,646.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.62 : 2,949.96 = 1,193.42 : x
  2. Step 2: Convert to fraction form
    2,137.62/2,949.96 = 1,193.42/x
  3. Step 3: Cross multiply
    2,137.62x = 2,949.96 × 1,193.42
  4. Step 4: Simplify right side
    2,137.62x = 3,520,526.51
  5. Step 5: Solve for x
    x = 3,520,526.51/2,137.62
  6. Step 6: Final answer
    x = 1,646.94

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