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Finding the Fourth Proportional to 2,350.07, 3,523.62 and 2,002.04

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Solution

The fourth proportional to 2,350.07, 3,523.62 and 2,002.04 is: 3,001.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.07 : 3,523.62 = 2,002.04 : x
  2. Step 2: Convert to fraction form
    2,350.07/3,523.62 = 2,002.04/x
  3. Step 3: Cross multiply
    2,350.07x = 3,523.62 × 2,002.04
  4. Step 4: Simplify right side
    2,350.07x = 7,054,428.18
  5. Step 5: Solve for x
    x = 7,054,428.18/2,350.07
  6. Step 6: Final answer
    x = 3,001.79

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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.