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Finding the Fourth Proportional to 2,852.72, 4,279.23 and 905.07

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Solution

The fourth proportional to 2,852.72, 4,279.23 and 905.07 is: 1,357.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.72 : 4,279.23 = 905.07 : x
  2. Step 2: Convert to fraction form
    2,852.72/4,279.23 = 905.07/x
  3. Step 3: Cross multiply
    2,852.72x = 4,279.23 × 905.07
  4. Step 4: Simplify right side
    2,852.72x = 3,873,018.74
  5. Step 5: Solve for x
    x = 3,873,018.74/2,852.72
  6. Step 6: Final answer
    x = 1,357.66

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