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Finding the Fourth Proportional to 2,703.60, 4,057.80 and 2,314.80

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Solution

The fourth proportional to 2,703.60, 4,057.80 and 2,314.80 is: 3,474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.60 : 4,057.80 = 2,314.80 : x
  2. Step 2: Convert to fraction form
    2,703.60/4,057.80 = 2,314.80/x
  3. Step 3: Cross multiply
    2,703.60x = 4,057.80 × 2,314.80
  4. Step 4: Simplify right side
    2,703.60x = 9,392,995.44
  5. Step 5: Solve for x
    x = 9,392,995.44/2,703.60
  6. Step 6: Final answer
    x = 3,474.25

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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.