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Finding the Fourth Proportional to 1,689.83, 2,315.03 and 1,626.65

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Solution

The fourth proportional to 1,689.83, 2,315.03 and 1,626.65 is: 2,228.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.83 : 2,315.03 = 1,626.65 : x
  2. Step 2: Convert to fraction form
    1,689.83/2,315.03 = 1,626.65/x
  3. Step 3: Cross multiply
    1,689.83x = 2,315.03 × 1,626.65
  4. Step 4: Simplify right side
    1,689.83x = 3,765,747.07
  5. Step 5: Solve for x
    x = 3,765,747.07/1,689.83
  6. Step 6: Final answer
    x = 2,228.48

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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.