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Finding the Fourth Proportional to 2,034.99, 3,053.17 and 864.94

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Solution

The fourth proportional to 2,034.99, 3,053.17 and 864.94 is: 1,297.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.99 : 3,053.17 = 864.94 : x
  2. Step 2: Convert to fraction form
    2,034.99/3,053.17 = 864.94/x
  3. Step 3: Cross multiply
    2,034.99x = 3,053.17 × 864.94
  4. Step 4: Simplify right side
    2,034.99x = 2,640,808.86
  5. Step 5: Solve for x
    x = 2,640,808.86/2,034.99
  6. Step 6: Final answer
    x = 1,297.70

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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.