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Finding the Fourth Proportional to 2,672, 4,007.45 and 1,027.98

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Solution

The fourth proportional to 2,672, 4,007.45 and 1,027.98 is: 1,541.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672 : 4,007.45 = 1,027.98 : x
  2. Step 2: Convert to fraction form
    2,672/4,007.45 = 1,027.98/x
  3. Step 3: Cross multiply
    2,672x = 4,007.45 × 1,027.98
  4. Step 4: Simplify right side
    2,672x = 4,119,578.45
  5. Step 5: Solve for x
    x = 4,119,578.45/2,672
  6. Step 6: Final answer
    x = 1,541.76

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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.