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Finding the Fourth Proportional to 1,610.68, 2,404.34 and 1,490.44

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Solution

The fourth proportional to 1,610.68, 2,404.34 and 1,490.44 is: 2,224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.68 : 2,404.34 = 1,490.44 : x
  2. Step 2: Convert to fraction form
    1,610.68/2,404.34 = 1,490.44/x
  3. Step 3: Cross multiply
    1,610.68x = 2,404.34 × 1,490.44
  4. Step 4: Simplify right side
    1,610.68x = 3,583,524.51
  5. Step 5: Solve for x
    x = 3,583,524.51/1,610.68
  6. Step 6: Final answer
    x = 2,224.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.