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Finding the Fourth Proportional to 2,410.56, 3,615.42 and 678.72

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Solution

The fourth proportional to 2,410.56, 3,615.42 and 678.72 is: 1,017.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.56 : 3,615.42 = 678.72 : x
  2. Step 2: Convert to fraction form
    2,410.56/3,615.42 = 678.72/x
  3. Step 3: Cross multiply
    2,410.56x = 3,615.42 × 678.72
  4. Step 4: Simplify right side
    2,410.56x = 2,453,857.86
  5. Step 5: Solve for x
    x = 2,453,857.86/2,410.56
  6. Step 6: Final answer
    x = 1,017.96

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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.