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Finding the Fourth Proportional to 2,007.02, 2,769.68 and 1,122.82

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Solution

The fourth proportional to 2,007.02, 2,769.68 and 1,122.82 is: 1,549.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.02 : 2,769.68 = 1,122.82 : x
  2. Step 2: Convert to fraction form
    2,007.02/2,769.68 = 1,122.82/x
  3. Step 3: Cross multiply
    2,007.02x = 2,769.68 × 1,122.82
  4. Step 4: Simplify right side
    2,007.02x = 3,109,852.10
  5. Step 5: Solve for x
    x = 3,109,852.10/2,007.02
  6. Step 6: Final answer
    x = 1,549.49

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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.