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Finding the Fourth Proportional to 2,055.56, 3,081.48 and 756.12

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Solution

The fourth proportional to 2,055.56, 3,081.48 and 756.12 is: 1,133.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.56 : 3,081.48 = 756.12 : x
  2. Step 2: Convert to fraction form
    2,055.56/3,081.48 = 756.12/x
  3. Step 3: Cross multiply
    2,055.56x = 3,081.48 × 756.12
  4. Step 4: Simplify right side
    2,055.56x = 2,329,968.66
  5. Step 5: Solve for x
    x = 2,329,968.66/2,055.56
  6. Step 6: Final answer
    x = 1,133.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.