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Finding the Fourth Proportional to 2,054.98, 3,080.64 and 756.14

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Solution

The fourth proportional to 2,054.98, 3,080.64 and 756.14 is: 1,133.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.98 : 3,080.64 = 756.14 : x
  2. Step 2: Convert to fraction form
    2,054.98/3,080.64 = 756.14/x
  3. Step 3: Cross multiply
    2,054.98x = 3,080.64 × 756.14
  4. Step 4: Simplify right side
    2,054.98x = 2,329,395.13
  5. Step 5: Solve for x
    x = 2,329,395.13/2,054.98
  6. Step 6: Final answer
    x = 1,133.54

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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.