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Finding the Fourth Proportional to 2,210.93, 3,314.07 and 1,689.80

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Solution

The fourth proportional to 2,210.93, 3,314.07 and 1,689.80 is: 2,532.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.93 : 3,314.07 = 1,689.80 : x
  2. Step 2: Convert to fraction form
    2,210.93/3,314.07 = 1,689.80/x
  3. Step 3: Cross multiply
    2,210.93x = 3,314.07 × 1,689.80
  4. Step 4: Simplify right side
    2,210.93x = 5,600,115.49
  5. Step 5: Solve for x
    x = 5,600,115.49/2,210.93
  6. Step 6: Final answer
    x = 2,532.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.