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Finding the Fourth Proportional to 1,944.06, 2,927.72 and 1,703.49

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Solution

The fourth proportional to 1,944.06, 2,927.72 and 1,703.49 is: 2,565.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.06 : 2,927.72 = 1,703.49 : x
  2. Step 2: Convert to fraction form
    1,944.06/2,927.72 = 1,703.49/x
  3. Step 3: Cross multiply
    1,944.06x = 2,927.72 × 1,703.49
  4. Step 4: Simplify right side
    1,944.06x = 4,987,333.23
  5. Step 5: Solve for x
    x = 4,987,333.23/1,944.06
  6. Step 6: Final answer
    x = 2,565.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.