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Finding the Fourth Proportional to 2,613.61, 3,608.46 and 1,730.60

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Solution

The fourth proportional to 2,613.61, 3,608.46 and 1,730.60 is: 2,389.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.61 : 3,608.46 = 1,730.60 : x
  2. Step 2: Convert to fraction form
    2,613.61/3,608.46 = 1,730.60/x
  3. Step 3: Cross multiply
    2,613.61x = 3,608.46 × 1,730.60
  4. Step 4: Simplify right side
    2,613.61x = 6,244,800.88
  5. Step 5: Solve for x
    x = 6,244,800.88/2,613.61
  6. Step 6: Final answer
    x = 2,389.34

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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.