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Finding the Fourth Proportional to 2,410.03, 3,614.73 and 678.79

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Solution

The fourth proportional to 2,410.03, 3,614.73 and 678.79 is: 1,018.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.03 : 3,614.73 = 678.79 : x
  2. Step 2: Convert to fraction form
    2,410.03/3,614.73 = 678.79/x
  3. Step 3: Cross multiply
    2,410.03x = 3,614.73 × 678.79
  4. Step 4: Simplify right side
    2,410.03x = 2,453,639.18
  5. Step 5: Solve for x
    x = 2,453,639.18/2,410.03
  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.