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Finding the Fourth Proportional to 3,002.82, 4,502.26 and 1,247.37

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Solution

The fourth proportional to 3,002.82, 4,502.26 and 1,247.37 is: 1,870.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.82 : 4,502.26 = 1,247.37 : x
  2. Step 2: Convert to fraction form
    3,002.82/4,502.26 = 1,247.37/x
  3. Step 3: Cross multiply
    3,002.82x = 4,502.26 × 1,247.37
  4. Step 4: Simplify right side
    3,002.82x = 5,615,984.06
  5. Step 5: Solve for x
    x = 5,615,984.06/3,002.82
  6. Step 6: Final answer
    x = 1,870.24

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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.