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Finding the Fourth Proportional to 2,410.87, 3,616.41 and 1,434.82

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Solution

The fourth proportional to 2,410.87, 3,616.41 and 1,434.82 is: 2,152.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.87 : 3,616.41 = 1,434.82 : x
  2. Step 2: Convert to fraction form
    2,410.87/3,616.41 = 1,434.82/x
  3. Step 3: Cross multiply
    2,410.87x = 3,616.41 × 1,434.82
  4. Step 4: Simplify right side
    2,410.87x = 5,188,897.40
  5. Step 5: Solve for x
    x = 5,188,897.40/2,410.87
  6. Step 6: Final answer
    x = 2,152.29

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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.