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Finding the Fourth Proportional to 1,690.59, 2,316.06 and 1,627.41

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Solution

The fourth proportional to 1,690.59, 2,316.06 and 1,627.41 is: 2,229.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.59 : 2,316.06 = 1,627.41 : x
  2. Step 2: Convert to fraction form
    1,690.59/2,316.06 = 1,627.41/x
  3. Step 3: Cross multiply
    1,690.59x = 2,316.06 × 1,627.41
  4. Step 4: Simplify right side
    1,690.59x = 3,769,179.20
  5. Step 5: Solve for x
    x = 3,769,179.20/1,690.59
  6. Step 6: Final answer
    x = 2,229.51

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.