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Finding the Fourth Proportional to 2,616.34, 3,610.69 and 1,730.61

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Solution

The fourth proportional to 2,616.34, 3,610.69 and 1,730.61 is: 2,388.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.34 : 3,610.69 = 1,730.61 : x
  2. Step 2: Convert to fraction form
    2,616.34/3,610.69 = 1,730.61/x
  3. Step 3: Cross multiply
    2,616.34x = 3,610.69 × 1,730.61
  4. Step 4: Simplify right side
    2,616.34x = 6,248,678.17
  5. Step 5: Solve for x
    x = 6,248,678.17/2,616.34
  6. Step 6: Final answer
    x = 2,388.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.