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Finding the Fourth Proportional to 2,670.84, 4,006.51 and 1,027.10

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Solution

The fourth proportional to 2,670.84, 4,006.51 and 1,027.10 is: 1,540.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.84 : 4,006.51 = 1,027.10 : x
  2. Step 2: Convert to fraction form
    2,670.84/4,006.51 = 1,027.10/x
  3. Step 3: Cross multiply
    2,670.84x = 4,006.51 × 1,027.10
  4. Step 4: Simplify right side
    2,670.84x = 4,115,093.87
  5. Step 5: Solve for x
    x = 4,115,093.87/2,670.84
  6. Step 6: Final answer
    x = 1,540.75

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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.