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Finding the Fourth Proportional to 2,011.49, 2,776.01 and 1,127.37

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Solution

The fourth proportional to 2,011.49, 2,776.01 and 1,127.37 is: 1,555.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.49 : 2,776.01 = 1,127.37 : x
  2. Step 2: Convert to fraction form
    2,011.49/2,776.01 = 1,127.37/x
  3. Step 3: Cross multiply
    2,011.49x = 2,776.01 × 1,127.37
  4. Step 4: Simplify right side
    2,011.49x = 3,129,584.76
  5. Step 5: Solve for x
    x = 3,129,584.76/2,011.49
  6. Step 6: Final answer
    x = 1,555.86

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Why These Related Problems?

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