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Finding the Fourth Proportional to 1,902.15, 2,853.72 and 585.87

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Solution

The fourth proportional to 1,902.15, 2,853.72 and 585.87 is: 878.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.15 : 2,853.72 = 585.87 : x
  2. Step 2: Convert to fraction form
    1,902.15/2,853.72 = 585.87/x
  3. Step 3: Cross multiply
    1,902.15x = 2,853.72 × 585.87
  4. Step 4: Simplify right side
    1,902.15x = 1,671,908.94
  5. Step 5: Solve for x
    x = 1,671,908.94/1,902.15
  6. Step 6: Final answer
    x = 878.96

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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.