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Finding the Fourth Proportional to 2,003.18, 3,004.68 and 616.46

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Solution

The fourth proportional to 2,003.18, 3,004.68 and 616.46 is: 924.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.18 : 3,004.68 = 616.46 : x
  2. Step 2: Convert to fraction form
    2,003.18/3,004.68 = 616.46/x
  3. Step 3: Cross multiply
    2,003.18x = 3,004.68 × 616.46
  4. Step 4: Simplify right side
    2,003.18x = 1,852,265.03
  5. Step 5: Solve for x
    x = 1,852,265.03/2,003.18
  6. Step 6: Final answer
    x = 924.66

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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.