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Finding the Fourth Proportional to 2,410.46, 3,615.72 and 679.04

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Solution

The fourth proportional to 2,410.46, 3,615.72 and 679.04 is: 1,018.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.46 : 3,615.72 = 679.04 : x
  2. Step 2: Convert to fraction form
    2,410.46/3,615.72 = 679.04/x
  3. Step 3: Cross multiply
    2,410.46x = 3,615.72 × 679.04
  4. Step 4: Simplify right side
    2,410.46x = 2,455,218.51
  5. Step 5: Solve for x
    x = 2,455,218.51/2,410.46
  6. Step 6: Final answer
    x = 1,018.57

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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.