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Finding the Fourth Proportional to 2,600.39, 3,588.54 and 1,421.46

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Solution

The fourth proportional to 2,600.39, 3,588.54 and 1,421.46 is: 1,961.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.39 : 3,588.54 = 1,421.46 : x
  2. Step 2: Convert to fraction form
    2,600.39/3,588.54 = 1,421.46/x
  3. Step 3: Cross multiply
    2,600.39x = 3,588.54 × 1,421.46
  4. Step 4: Simplify right side
    2,600.39x = 5,100,941.02
  5. Step 5: Solve for x
    x = 5,100,941.02/2,600.39
  6. Step 6: Final answer
    x = 1,961.61

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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.