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Finding the Fourth Proportional to 2,233.47, 3,355.07 and 1,823.61

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Solution

The fourth proportional to 2,233.47, 3,355.07 and 1,823.61 is: 2,739.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.47 : 3,355.07 = 1,823.61 : x
  2. Step 2: Convert to fraction form
    2,233.47/3,355.07 = 1,823.61/x
  3. Step 3: Cross multiply
    2,233.47x = 3,355.07 × 1,823.61
  4. Step 4: Simplify right side
    2,233.47x = 6,118,330.08
  5. Step 5: Solve for x
    x = 6,118,330.08/2,233.47
  6. Step 6: Final answer
    x = 2,739.38

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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.