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Finding the Fourth Proportional to 2,677.98, 3,685.23 and 2,470.22

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Solution

The fourth proportional to 2,677.98, 3,685.23 and 2,470.22 is: 3,399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.98 : 3,685.23 = 2,470.22 : x
  2. Step 2: Convert to fraction form
    2,677.98/3,685.23 = 2,470.22/x
  3. Step 3: Cross multiply
    2,677.98x = 3,685.23 × 2,470.22
  4. Step 4: Simplify right side
    2,677.98x = 9,103,324.24
  5. Step 5: Solve for x
    x = 9,103,324.24/2,677.98
  6. Step 6: Final answer
    x = 3,399.32

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1.5x scale

Why These Related Problems?

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