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Finding the Fourth Proportional to 2,113.77, 3,168.80 and 814.35

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Solution

The fourth proportional to 2,113.77, 3,168.80 and 814.35 is: 1,220.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.77 : 3,168.80 = 814.35 : x
  2. Step 2: Convert to fraction form
    2,113.77/3,168.80 = 814.35/x
  3. Step 3: Cross multiply
    2,113.77x = 3,168.80 × 814.35
  4. Step 4: Simplify right side
    2,113.77x = 2,580,508.21
  5. Step 5: Solve for x
    x = 2,580,508.21/2,113.77
  6. Step 6: Final answer
    x = 1,220.81

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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.