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Finding the Fourth Proportional to 2,002.45, 3,005.07 and 704.02

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Solution

The fourth proportional to 2,002.45, 3,005.07 and 704.02 is: 1,056.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.45 : 3,005.07 = 704.02 : x
  2. Step 2: Convert to fraction form
    2,002.45/3,005.07 = 704.02/x
  3. Step 3: Cross multiply
    2,002.45x = 3,005.07 × 704.02
  4. Step 4: Simplify right side
    2,002.45x = 2,115,629.38
  5. Step 5: Solve for x
    x = 2,115,629.38/2,002.45
  6. Step 6: Final answer
    x = 1,056.52

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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.