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Finding the Fourth Proportional to 2,137.17, 3,205.89 and 904.42

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Solution

The fourth proportional to 2,137.17, 3,205.89 and 904.42 is: 1,356.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.17 : 3,205.89 = 904.42 : x
  2. Step 2: Convert to fraction form
    2,137.17/3,205.89 = 904.42/x
  3. Step 3: Cross multiply
    2,137.17x = 3,205.89 × 904.42
  4. Step 4: Simplify right side
    2,137.17x = 2,899,463.02
  5. Step 5: Solve for x
    x = 2,899,463.02/2,137.17
  6. Step 6: Final answer
    x = 1,356.68

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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.