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Finding the Fourth Proportional to 2,410.78, 3,615.85 and 679.54

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Solution

The fourth proportional to 2,410.78, 3,615.85 and 679.54 is: 1,019.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.78 : 3,615.85 = 679.54 : x
  2. Step 2: Convert to fraction form
    2,410.78/3,615.85 = 679.54/x
  3. Step 3: Cross multiply
    2,410.78x = 3,615.85 × 679.54
  4. Step 4: Simplify right side
    2,410.78x = 2,457,114.71
  5. Step 5: Solve for x
    x = 2,457,114.71/2,410.78
  6. Step 6: Final answer
    x = 1,019.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.