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Finding the Fourth Proportional to 2,002.20, 3,004.70 and 703.77

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Solution

The fourth proportional to 2,002.20, 3,004.70 and 703.77 is: 1,056.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.20 : 3,004.70 = 703.77 : x
  2. Step 2: Convert to fraction form
    2,002.20/3,004.70 = 703.77/x
  3. Step 3: Cross multiply
    2,002.20x = 3,004.70 × 703.77
  4. Step 4: Simplify right side
    2,002.20x = 2,114,614.20
  5. Step 5: Solve for x
    x = 2,114,614.20/2,002.20
  6. Step 6: Final answer
    x = 1,056.15

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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.