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Finding the Fourth Proportional to 2,600.67, 3,588.87 and 1,421.67

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Solution

The fourth proportional to 2,600.67, 3,588.87 and 1,421.67 is: 1,961.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.67 : 3,588.87 = 1,421.67 : x
  2. Step 2: Convert to fraction form
    2,600.67/3,588.87 = 1,421.67/x
  3. Step 3: Cross multiply
    2,600.67x = 3,588.87 × 1,421.67
  4. Step 4: Simplify right side
    2,600.67x = 5,102,188.81
  5. Step 5: Solve for x
    x = 5,102,188.81/2,600.67
  6. Step 6: Final answer
    x = 1,961.87

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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.