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Finding the Fourth Proportional to 2,002.68, 2,764.20 and 1,602.78

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Solution

The fourth proportional to 2,002.68, 2,764.20 and 1,602.78 is: 2,212.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.68 : 2,764.20 = 1,602.78 : x
  2. Step 2: Convert to fraction form
    2,002.68/2,764.20 = 1,602.78/x
  3. Step 3: Cross multiply
    2,002.68x = 2,764.20 × 1,602.78
  4. Step 4: Simplify right side
    2,002.68x = 4,430,404.48
  5. Step 5: Solve for x
    x = 4,430,404.48/2,002.68
  6. Step 6: Final answer
    x = 2,212.24

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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.