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Finding the Fourth Proportional to 2,002.09, 3,002.45 and 703.39

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Solution

The fourth proportional to 2,002.09, 3,002.45 and 703.39 is: 1,054.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.09 : 3,002.45 = 703.39 : x
  2. Step 2: Convert to fraction form
    2,002.09/3,002.45 = 703.39/x
  3. Step 3: Cross multiply
    2,002.09x = 3,002.45 × 703.39
  4. Step 4: Simplify right side
    2,002.09x = 2,111,893.31
  5. Step 5: Solve for x
    x = 2,111,893.31/2,002.09
  6. Step 6: Final answer
    x = 1,054.84

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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.