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Finding the Fourth Proportional to 2,601.17, 3,900.20 and 1,018.00

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Solution

The fourth proportional to 2,601.17, 3,900.20 and 1,018.00 is: 1,526.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.17 : 3,900.20 = 1,018.00 : x
  2. Step 2: Convert to fraction form
    2,601.17/3,900.20 = 1,018.00/x
  3. Step 3: Cross multiply
    2,601.17x = 3,900.20 × 1,018.00
  4. Step 4: Simplify right side
    2,601.17x = 3,970,403.39
  5. Step 5: Solve for x
    x = 3,970,403.39/2,601.17
  6. Step 6: Final answer
    x = 1,526.39

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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.