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Finding the Fourth Proportional to 2,002.77, 3,004.05 and 704.19

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Solution

The fourth proportional to 2,002.77, 3,004.05 and 704.19 is: 1,056.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.77 : 3,004.05 = 704.19 : x
  2. Step 2: Convert to fraction form
    2,002.77/3,004.05 = 704.19/x
  3. Step 3: Cross multiply
    2,002.77x = 3,004.05 × 704.19
  4. Step 4: Simplify right side
    2,002.77x = 2,115,421.97
  5. Step 5: Solve for x
    x = 2,115,421.97/2,002.77
  6. Step 6: Final answer
    x = 1,056.25

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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.