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Finding the Fourth Proportional to 2,853.19, 4,279.92 and 905.55

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Solution

The fourth proportional to 2,853.19, 4,279.92 and 905.55 is: 1,358.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.19 : 4,279.92 = 905.55 : x
  2. Step 2: Convert to fraction form
    2,853.19/4,279.92 = 905.55/x
  3. Step 3: Cross multiply
    2,853.19x = 4,279.92 × 905.55
  4. Step 4: Simplify right side
    2,853.19x = 3,875,681.56
  5. Step 5: Solve for x
    x = 3,875,681.56/2,853.19
  6. Step 6: Final answer
    x = 1,358.37

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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.