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Finding the Fourth Proportional to 2,617.34, 3,613.02 and 1,871.60

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Solution

The fourth proportional to 2,617.34, 3,613.02 and 1,871.60 is: 2,583.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.34 : 3,613.02 = 1,871.60 : x
  2. Step 2: Convert to fraction form
    2,617.34/3,613.02 = 1,871.60/x
  3. Step 3: Cross multiply
    2,617.34x = 3,613.02 × 1,871.60
  4. Step 4: Simplify right side
    2,617.34x = 6,762,128.23
  5. Step 5: Solve for x
    x = 6,762,128.23/2,617.34
  6. Step 6: Final answer
    x = 2,583.59

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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.