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Finding the Fourth Proportional to 2,006.70, 2,769.30 and 1,122.48

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Solution

The fourth proportional to 2,006.70, 2,769.30 and 1,122.48 is: 1,549.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.70 : 2,769.30 = 1,122.48 : x
  2. Step 2: Convert to fraction form
    2,006.70/2,769.30 = 1,122.48/x
  3. Step 3: Cross multiply
    2,006.70x = 2,769.30 × 1,122.48
  4. Step 4: Simplify right side
    2,006.70x = 3,108,483.86
  5. Step 5: Solve for x
    x = 3,108,483.86/2,006.70
  6. Step 6: Final answer
    x = 1,549.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.