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Finding the Fourth Proportional to 2,011.65, 2,776.16 and 1,127.43

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Solution

The fourth proportional to 2,011.65, 2,776.16 and 1,127.43 is: 1,555.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.65 : 2,776.16 = 1,127.43 : x
  2. Step 2: Convert to fraction form
    2,011.65/2,776.16 = 1,127.43/x
  3. Step 3: Cross multiply
    2,011.65x = 2,776.16 × 1,127.43
  4. Step 4: Simplify right side
    2,011.65x = 3,129,926.07
  5. Step 5: Solve for x
    x = 3,129,926.07/2,011.65
  6. Step 6: Final answer
    x = 1,555.90

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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.