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Finding the Fourth Proportional to 2,410.32, 3,615.60 and 678.96

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Solution

The fourth proportional to 2,410.32, 3,615.60 and 678.96 is: 1,018.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.32 : 3,615.60 = 678.96 : x
  2. Step 2: Convert to fraction form
    2,410.32/3,615.60 = 678.96/x
  3. Step 3: Cross multiply
    2,410.32x = 3,615.60 × 678.96
  4. Step 4: Simplify right side
    2,410.32x = 2,454,847.78
  5. Step 5: Solve for x
    x = 2,454,847.78/2,410.32
  6. Step 6: Final answer
    x = 1,018.47

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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.