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Finding the Fourth Proportional to 3,059.13, 4,222 and 1,732.83

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Solution

The fourth proportional to 3,059.13, 4,222 and 1,732.83 is: 2,391.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.13 : 4,222 = 1,732.83 : x
  2. Step 2: Convert to fraction form
    3,059.13/4,222 = 1,732.83/x
  3. Step 3: Cross multiply
    3,059.13x = 4,222 × 1,732.83
  4. Step 4: Simplify right side
    3,059.13x = 7,316,008.26
  5. Step 5: Solve for x
    x = 7,316,008.26/3,059.13
  6. Step 6: Final answer
    x = 2,391.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.