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Finding the Fourth Proportional to 2,002.60, 3,005.24 and 704.06

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Solution

The fourth proportional to 2,002.60, 3,005.24 and 704.06 is: 1,056.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.60 : 3,005.24 = 704.06 : x
  2. Step 2: Convert to fraction form
    2,002.60/3,005.24 = 704.06/x
  3. Step 3: Cross multiply
    2,002.60x = 3,005.24 × 704.06
  4. Step 4: Simplify right side
    2,002.60x = 2,115,865.75
  5. Step 5: Solve for x
    x = 2,115,865.75/2,002.60
  6. Step 6: Final answer
    x = 1,056.56

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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.