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Finding the Fourth Proportional to 3,018, 4,164.50 and 1,691.51

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Solution

The fourth proportional to 3,018, 4,164.50 and 1,691.51 is: 2,334.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,018 : 4,164.50 = 1,691.51 : x
  2. Step 2: Convert to fraction form
    3,018/4,164.50 = 1,691.51/x
  3. Step 3: Cross multiply
    3,018x = 4,164.50 × 1,691.51
  4. Step 4: Simplify right side
    3,018x = 7,044,308.04
  5. Step 5: Solve for x
    x = 7,044,308.04/3,018
  6. Step 6: Final answer
    x = 2,334.10

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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.