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Finding the Fourth Proportional to 2,002.19, 3,002.43 and 703.35

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Solution

The fourth proportional to 2,002.19, 3,002.43 and 703.35 is: 1,054.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.19 : 3,002.43 = 703.35 : x
  2. Step 2: Convert to fraction form
    2,002.19/3,002.43 = 703.35/x
  3. Step 3: Cross multiply
    2,002.19x = 3,002.43 × 703.35
  4. Step 4: Simplify right side
    2,002.19x = 2,111,759.14
  5. Step 5: Solve for x
    x = 2,111,759.14/2,002.19
  6. Step 6: Final answer
    x = 1,054.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.