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Finding the Fourth Proportional to 2,137.43, 3,206.15 and 904.52

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Solution

The fourth proportional to 2,137.43, 3,206.15 and 904.52 is: 1,356.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.43 : 3,206.15 = 904.52 : x
  2. Step 2: Convert to fraction form
    2,137.43/3,206.15 = 904.52/x
  3. Step 3: Cross multiply
    2,137.43x = 3,206.15 × 904.52
  4. Step 4: Simplify right side
    2,137.43x = 2,900,006.24
  5. Step 5: Solve for x
    x = 2,900,006.24/2,137.43
  6. Step 6: Final answer
    x = 1,356.78

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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.