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Finding the Fourth Proportional to 2,333.61, 3,499.83 and 1,455.66

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Solution

The fourth proportional to 2,333.61, 3,499.83 and 1,455.66 is: 2,183.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.61 : 3,499.83 = 1,455.66 : x
  2. Step 2: Convert to fraction form
    2,333.61/3,499.83 = 1,455.66/x
  3. Step 3: Cross multiply
    2,333.61x = 3,499.83 × 1,455.66
  4. Step 4: Simplify right side
    2,333.61x = 5,094,562.54
  5. Step 5: Solve for x
    x = 5,094,562.54/2,333.61
  6. Step 6: Final answer
    x = 2,183.13

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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.