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Finding the Fourth Proportional to 1,844.14, 2,768.94 and 750.64

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Solution

The fourth proportional to 1,844.14, 2,768.94 and 750.64 is: 1,127.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.14 : 2,768.94 = 750.64 : x
  2. Step 2: Convert to fraction form
    1,844.14/2,768.94 = 750.64/x
  3. Step 3: Cross multiply
    1,844.14x = 2,768.94 × 750.64
  4. Step 4: Simplify right side
    1,844.14x = 2,078,477.12
  5. Step 5: Solve for x
    x = 2,078,477.12/1,844.14
  6. Step 6: Final answer
    x = 1,127.07

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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.