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Finding the Fourth Proportional to 2,011.54, 2,775.89 and 1,127.34

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Solution

The fourth proportional to 2,011.54, 2,775.89 and 1,127.34 is: 1,555.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.54 : 2,775.89 = 1,127.34 : x
  2. Step 2: Convert to fraction form
    2,011.54/2,775.89 = 1,127.34/x
  3. Step 3: Cross multiply
    2,011.54x = 2,775.89 × 1,127.34
  4. Step 4: Simplify right side
    2,011.54x = 3,129,371.83
  5. Step 5: Solve for x
    x = 3,129,371.83/2,011.54
  6. Step 6: Final answer
    x = 1,555.71

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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.