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Finding the Fourth Proportional to 2,002.56, 3,004.44 and 703.72

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Solution

The fourth proportional to 2,002.56, 3,004.44 and 703.72 is: 1,055.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.56 : 3,004.44 = 703.72 : x
  2. Step 2: Convert to fraction form
    2,002.56/3,004.44 = 703.72/x
  3. Step 3: Cross multiply
    2,002.56x = 3,004.44 × 703.72
  4. Step 4: Simplify right side
    2,002.56x = 2,114,284.52
  5. Step 5: Solve for x
    x = 2,114,284.52/2,002.56
  6. Step 6: Final answer
    x = 1,055.79

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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.