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Finding the Fourth Proportional to 2,410.07, 3,614.56 and 678.83

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Solution

The fourth proportional to 2,410.07, 3,614.56 and 678.83 is: 1,018.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.07 : 3,614.56 = 678.83 : x
  2. Step 2: Convert to fraction form
    2,410.07/3,614.56 = 678.83/x
  3. Step 3: Cross multiply
    2,410.07x = 3,614.56 × 678.83
  4. Step 4: Simplify right side
    2,410.07x = 2,453,651.99
  5. Step 5: Solve for x
    x = 2,453,651.99/2,410.07
  6. Step 6: Final answer
    x = 1,018.09

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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.