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Finding the Fourth Proportional to 3,444.75, 4,754.57 and 2,048.31

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Solution

The fourth proportional to 3,444.75, 4,754.57 and 2,048.31 is: 2,827.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.75 : 4,754.57 = 2,048.31 : x
  2. Step 2: Convert to fraction form
    3,444.75/4,754.57 = 2,048.31/x
  3. Step 3: Cross multiply
    3,444.75x = 4,754.57 × 2,048.31
  4. Step 4: Simplify right side
    3,444.75x = 9,738,823.04
  5. Step 5: Solve for x
    x = 9,738,823.04/3,444.75
  6. Step 6: Final answer
    x = 2,827.15

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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.