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Finding the Fourth Proportional to 1,690.33, 2,315.71 and 1,627.16

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Solution

The fourth proportional to 1,690.33, 2,315.71 and 1,627.16 is: 2,229.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.33 : 2,315.71 = 1,627.16 : x
  2. Step 2: Convert to fraction form
    1,690.33/2,315.71 = 1,627.16/x
  3. Step 3: Cross multiply
    1,690.33x = 2,315.71 × 1,627.16
  4. Step 4: Simplify right side
    1,690.33x = 3,768,019.11
  5. Step 5: Solve for x
    x = 3,768,019.11/1,690.33
  6. Step 6: Final answer
    x = 2,229.16

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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.