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Finding the Fourth Proportional to 3,018.38, 4,164.95 and 1,742.30

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Solution

The fourth proportional to 3,018.38, 4,164.95 and 1,742.30 is: 2,404.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,018.38 : 4,164.95 = 1,742.30 : x
  2. Step 2: Convert to fraction form
    3,018.38/4,164.95 = 1,742.30/x
  3. Step 3: Cross multiply
    3,018.38x = 4,164.95 × 1,742.30
  4. Step 4: Simplify right side
    3,018.38x = 7,256,562.85
  5. Step 5: Solve for x
    x = 7,256,562.85/3,018.38
  6. Step 6: Final answer
    x = 2,404.13

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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.