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Finding the Fourth Proportional to 1,647.86, 2,469.65 and 1,233.74

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Solution

The fourth proportional to 1,647.86, 2,469.65 and 1,233.74 is: 1,849.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.86 : 2,469.65 = 1,233.74 : x
  2. Step 2: Convert to fraction form
    1,647.86/2,469.65 = 1,233.74/x
  3. Step 3: Cross multiply
    1,647.86x = 2,469.65 × 1,233.74
  4. Step 4: Simplify right side
    1,647.86x = 3,046,887.47
  5. Step 5: Solve for x
    x = 3,046,887.47/1,647.86
  6. Step 6: Final answer
    x = 1,849.00

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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.