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Finding the Fourth Proportional to 2,007.11, 2,769.81 and 1,122.93

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Solution

The fourth proportional to 2,007.11, 2,769.81 and 1,122.93 is: 1,549.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.11 : 2,769.81 = 1,122.93 : x
  2. Step 2: Convert to fraction form
    2,007.11/2,769.81 = 1,122.93/x
  3. Step 3: Cross multiply
    2,007.11x = 2,769.81 × 1,122.93
  4. Step 4: Simplify right side
    2,007.11x = 3,110,302.74
  5. Step 5: Solve for x
    x = 3,110,302.74/2,007.11
  6. Step 6: Final answer
    x = 1,549.64

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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.