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Finding the Fourth Proportional to 2,053.70, 3,081.01 and 592.85

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Solution

The fourth proportional to 2,053.70, 3,081.01 and 592.85 is: 889.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.70 : 3,081.01 = 592.85 : x
  2. Step 2: Convert to fraction form
    2,053.70/3,081.01 = 592.85/x
  3. Step 3: Cross multiply
    2,053.70x = 3,081.01 × 592.85
  4. Step 4: Simplify right side
    2,053.70x = 1,826,583.28
  5. Step 5: Solve for x
    x = 1,826,583.28/2,053.70
  6. Step 6: Final answer
    x = 889.41

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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.