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Finding the Fourth Proportional to 2,006.93, 2,769.74 and 1,123.01

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Solution

The fourth proportional to 2,006.93, 2,769.74 and 1,123.01 is: 1,549.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.93 : 2,769.74 = 1,123.01 : x
  2. Step 2: Convert to fraction form
    2,006.93/2,769.74 = 1,123.01/x
  3. Step 3: Cross multiply
    2,006.93x = 2,769.74 × 1,123.01
  4. Step 4: Simplify right side
    2,006.93x = 3,110,462.75
  5. Step 5: Solve for x
    x = 3,110,462.75/2,006.93
  6. Step 6: Final answer
    x = 1,549.86

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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.