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Finding the Fourth Proportional to 4,098.60, 6,144.76 and 1,905.73

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Solution

The fourth proportional to 4,098.60, 6,144.76 and 1,905.73 is: 2,857.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.60 : 6,144.76 = 1,905.73 : x
  2. Step 2: Convert to fraction form
    4,098.60/6,144.76 = 1,905.73/x
  3. Step 3: Cross multiply
    4,098.60x = 6,144.76 × 1,905.73
  4. Step 4: Simplify right side
    4,098.60x = 11,710,240.50
  5. Step 5: Solve for x
    x = 11,710,240.50/4,098.60
  6. Step 6: Final answer
    x = 2,857.13

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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.