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Finding the Fourth Proportional to 2,011.59, 2,776.00 and 1,127.39

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Solution

The fourth proportional to 2,011.59, 2,776.00 and 1,127.39 is: 1,555.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.59 : 2,776.00 = 1,127.39 : x
  2. Step 2: Convert to fraction form
    2,011.59/2,776.00 = 1,127.39/x
  3. Step 3: Cross multiply
    2,011.59x = 2,776.00 × 1,127.39
  4. Step 4: Simplify right side
    2,011.59x = 3,129,647.44
  5. Step 5: Solve for x
    x = 3,129,647.44/2,011.59
  6. Step 6: Final answer
    x = 1,555.81

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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.