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Finding the Fourth Proportional to 3,490.91, 4,817.44 and 1,897.55

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Solution

The fourth proportional to 3,490.91, 4,817.44 and 1,897.55 is: 2,618.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.91 : 4,817.44 = 1,897.55 : x
  2. Step 2: Convert to fraction form
    3,490.91/4,817.44 = 1,897.55/x
  3. Step 3: Cross multiply
    3,490.91x = 4,817.44 × 1,897.55
  4. Step 4: Simplify right side
    3,490.91x = 9,141,340.57
  5. Step 5: Solve for x
    x = 9,141,340.57/3,490.91
  6. Step 6: Final answer
    x = 2,618.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.