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Finding the Fourth Proportional to 3,038, 4,192.68 and 1,693.80

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Solution

The fourth proportional to 3,038, 4,192.68 and 1,693.80 is: 2,337.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038 : 4,192.68 = 1,693.80 : x
  2. Step 2: Convert to fraction form
    3,038/4,192.68 = 1,693.80/x
  3. Step 3: Cross multiply
    3,038x = 4,192.68 × 1,693.80
  4. Step 4: Simplify right side
    3,038x = 7,101,561.38
  5. Step 5: Solve for x
    x = 7,101,561.38/3,038
  6. Step 6: Final answer
    x = 2,337.58

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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.