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Finding the Fourth Proportional to 2,410.76, 3,616.14 and 679.16

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Solution

The fourth proportional to 2,410.76, 3,616.14 and 679.16 is: 1,018.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.76 : 3,616.14 = 679.16 : x
  2. Step 2: Convert to fraction form
    2,410.76/3,616.14 = 679.16/x
  3. Step 3: Cross multiply
    2,410.76x = 3,616.14 × 679.16
  4. Step 4: Simplify right side
    2,410.76x = 2,455,937.64
  5. Step 5: Solve for x
    x = 2,455,937.64/2,410.76
  6. Step 6: Final answer
    x = 1,018.74

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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.