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Finding the Fourth Proportional to 2,002.25, 3,003.35 and 703.69

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Solution

The fourth proportional to 2,002.25, 3,003.35 and 703.69 is: 1,055.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.25 : 3,003.35 = 703.69 : x
  2. Step 2: Convert to fraction form
    2,002.25/3,003.35 = 703.69/x
  3. Step 3: Cross multiply
    2,002.25x = 3,003.35 × 703.69
  4. Step 4: Simplify right side
    2,002.25x = 2,113,416.33
  5. Step 5: Solve for x
    x = 2,113,416.33/2,002.25
  6. Step 6: Final answer
    x = 1,055.52

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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.