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Finding the Fourth Proportional to 2,600.28, 3,588.36 and 1,421.28

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Solution

The fourth proportional to 2,600.28, 3,588.36 and 1,421.28 is: 1,961.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.28 : 3,588.36 = 1,421.28 : x
  2. Step 2: Convert to fraction form
    2,600.28/3,588.36 = 1,421.28/x
  3. Step 3: Cross multiply
    2,600.28x = 3,588.36 × 1,421.28
  4. Step 4: Simplify right side
    2,600.28x = 5,100,064.30
  5. Step 5: Solve for x
    x = 5,100,064.30/2,600.28
  6. Step 6: Final answer
    x = 1,961.35

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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.