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Finding the Fourth Proportional to 2,600.37, 3,588.48 and 1,421.42

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Solution

The fourth proportional to 2,600.37, 3,588.48 and 1,421.42 is: 1,961.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.37 : 3,588.48 = 1,421.42 : x
  2. Step 2: Convert to fraction form
    2,600.37/3,588.48 = 1,421.42/x
  3. Step 3: Cross multiply
    2,600.37x = 3,588.48 × 1,421.42
  4. Step 4: Simplify right side
    2,600.37x = 5,100,719.30
  5. Step 5: Solve for x
    x = 5,100,719.30/2,600.37
  6. Step 6: Final answer
    x = 1,961.54

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