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Finding the Fourth Proportional to 2,342.93, 3,233.24 and 1,295.00

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Solution

The fourth proportional to 2,342.93, 3,233.24 and 1,295.00 is: 1,787.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.93 : 3,233.24 = 1,295.00 : x
  2. Step 2: Convert to fraction form
    2,342.93/3,233.24 = 1,295.00/x
  3. Step 3: Cross multiply
    2,342.93x = 3,233.24 × 1,295.00
  4. Step 4: Simplify right side
    2,342.93x = 4,187,032.87
  5. Step 5: Solve for x
    x = 4,187,032.87/2,342.93
  6. Step 6: Final answer
    x = 1,787.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.