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Finding the Fourth Proportional to 2,600.55, 3,588.62 and 1,421.39

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Solution

The fourth proportional to 2,600.55, 3,588.62 and 1,421.39 is: 1,961.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.55 : 3,588.62 = 1,421.39 : x
  2. Step 2: Convert to fraction form
    2,600.55/3,588.62 = 1,421.39/x
  3. Step 3: Cross multiply
    2,600.55x = 3,588.62 × 1,421.39
  4. Step 4: Simplify right side
    2,600.55x = 5,100,803.53
  5. Step 5: Solve for x
    x = 5,100,803.53/2,600.55
  6. Step 6: Final answer
    x = 1,961.43

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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.