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Finding the Fourth Proportional to 2,764.90, 4,135.11 and 2,458.90

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Solution

The fourth proportional to 2,764.90, 4,135.11 and 2,458.90 is: 3,677.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.90 : 4,135.11 = 2,458.90 : x
  2. Step 2: Convert to fraction form
    2,764.90/4,135.11 = 2,458.90/x
  3. Step 3: Cross multiply
    2,764.90x = 4,135.11 × 2,458.90
  4. Step 4: Simplify right side
    2,764.90x = 10,167,821.98
  5. Step 5: Solve for x
    x = 10,167,821.98/2,764.90
  6. Step 6: Final answer
    x = 3,677.46

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1.5x scale

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.