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Finding the Fourth Proportional to 2,710.80, 4,063.77 and 2,252.34

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Solution

The fourth proportional to 2,710.80, 4,063.77 and 2,252.34 is: 3,376.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.80 : 4,063.77 = 2,252.34 : x
  2. Step 2: Convert to fraction form
    2,710.80/4,063.77 = 2,252.34/x
  3. Step 3: Cross multiply
    2,710.80x = 4,063.77 × 2,252.34
  4. Step 4: Simplify right side
    2,710.80x = 9,152,991.72
  5. Step 5: Solve for x
    x = 9,152,991.72/2,710.80
  6. Step 6: Final answer
    x = 3,376.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.