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Finding the Fourth Proportional to 2,011.96, 2,776.53 and 1,127.98

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Solution

The fourth proportional to 2,011.96, 2,776.53 and 1,127.98 is: 1,556.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.96 : 2,776.53 = 1,127.98 : x
  2. Step 2: Convert to fraction form
    2,011.96/2,776.53 = 1,127.98/x
  3. Step 3: Cross multiply
    2,011.96x = 2,776.53 × 1,127.98
  4. Step 4: Simplify right side
    2,011.96x = 3,131,870.31
  5. Step 5: Solve for x
    x = 3,131,870.31/2,011.96
  6. Step 6: Final answer
    x = 1,556.63

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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.