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Finding the Fourth Proportional to 2,703.63, 3,729.24 and 1,864.37

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Solution

The fourth proportional to 2,703.63, 3,729.24 and 1,864.37 is: 2,571.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.63 : 3,729.24 = 1,864.37 : x
  2. Step 2: Convert to fraction form
    2,703.63/3,729.24 = 1,864.37/x
  3. Step 3: Cross multiply
    2,703.63x = 3,729.24 × 1,864.37
  4. Step 4: Simplify right side
    2,703.63x = 6,952,683.18
  5. Step 5: Solve for x
    x = 6,952,683.18/2,703.63
  6. Step 6: Final answer
    x = 2,571.61

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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.