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Finding the Fourth Proportional to 4,018.61, 6,027.92 and 1,097

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Solution

The fourth proportional to 4,018.61, 6,027.92 and 1,097 is: 1,645.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,018.61 : 6,027.92 = 1,097 : x
  2. Step 2: Convert to fraction form
    4,018.61/6,027.92 = 1,097/x
  3. Step 3: Cross multiply
    4,018.61x = 6,027.92 × 1,097
  4. Step 4: Simplify right side
    4,018.61x = 6,612,628.24
  5. Step 5: Solve for x
    x = 6,612,628.24/4,018.61
  6. Step 6: Final answer
    x = 1,645.50

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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.