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Finding the Fourth Proportional to 2,003.04, 2,988 and 1,769.76

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Solution

The fourth proportional to 2,003.04, 2,988 and 1,769.76 is: 2,640.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.04 : 2,988 = 1,769.76 : x
  2. Step 2: Convert to fraction form
    2,003.04/2,988 = 1,769.76/x
  3. Step 3: Cross multiply
    2,003.04x = 2,988 × 1,769.76
  4. Step 4: Simplify right side
    2,003.04x = 5,288,042.88
  5. Step 5: Solve for x
    x = 5,288,042.88/2,003.04
  6. Step 6: Final answer
    x = 2,640.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.