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Finding the Fourth Proportional to 2,600.40, 3,900.33 and 652.60

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Solution

The fourth proportional to 2,600.40, 3,900.33 and 652.60 is: 978.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.40 : 3,900.33 = 652.60 : x
  2. Step 2: Convert to fraction form
    2,600.40/3,900.33 = 652.60/x
  3. Step 3: Cross multiply
    2,600.40x = 3,900.33 × 652.60
  4. Step 4: Simplify right side
    2,600.40x = 2,545,355.36
  5. Step 5: Solve for x
    x = 2,545,355.36/2,600.40
  6. Step 6: Final answer
    x = 978.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.