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Finding the Fourth Proportional to 1,908.94, 2,863.85 and 592.62

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Solution

The fourth proportional to 1,908.94, 2,863.85 and 592.62 is: 889.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.94 : 2,863.85 = 592.62 : x
  2. Step 2: Convert to fraction form
    1,908.94/2,863.85 = 592.62/x
  3. Step 3: Cross multiply
    1,908.94x = 2,863.85 × 592.62
  4. Step 4: Simplify right side
    1,908.94x = 1,697,171.82
  5. Step 5: Solve for x
    x = 1,697,171.82/1,908.94
  6. Step 6: Final answer
    x = 889.07

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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.