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Finding the Fourth Proportional to 2,003.30, 3,005.20 and 686.69

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Solution

The fourth proportional to 2,003.30, 3,005.20 and 686.69 is: 1,030.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.30 : 3,005.20 = 686.69 : x
  2. Step 2: Convert to fraction form
    2,003.30/3,005.20 = 686.69/x
  3. Step 3: Cross multiply
    2,003.30x = 3,005.20 × 686.69
  4. Step 4: Simplify right side
    2,003.30x = 2,063,654.79
  5. Step 5: Solve for x
    x = 2,063,654.79/2,003.30
  6. Step 6: Final answer
    x = 1,030.13

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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.