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Finding the Fourth Proportional to 2,002.45, 3,004.06 and 615.54

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Solution

The fourth proportional to 2,002.45, 3,004.06 and 615.54 is: 923.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.45 : 3,004.06 = 615.54 : x
  2. Step 2: Convert to fraction form
    2,002.45/3,004.06 = 615.54/x
  3. Step 3: Cross multiply
    2,002.45x = 3,004.06 × 615.54
  4. Step 4: Simplify right side
    2,002.45x = 1,849,119.09
  5. Step 5: Solve for x
    x = 1,849,119.09/2,002.45
  6. Step 6: Final answer
    x = 923.43

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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.