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Finding the Fourth Proportional to 2,053.24, 3,079.41 and 592

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Solution

The fourth proportional to 2,053.24, 3,079.41 and 592 is: 887.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.24 : 3,079.41 = 592 : x
  2. Step 2: Convert to fraction form
    2,053.24/3,079.41 = 592/x
  3. Step 3: Cross multiply
    2,053.24x = 3,079.41 × 592
  4. Step 4: Simplify right side
    2,053.24x = 1,823,010.72
  5. Step 5: Solve for x
    x = 1,823,010.72/2,053.24
  6. Step 6: Final answer
    x = 887.87

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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.