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Finding the Fourth Proportional to 2,150.35, 3,225.83 and 689.38

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Solution

The fourth proportional to 2,150.35, 3,225.83 and 689.38 is: 1,034.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.35 : 3,225.83 = 689.38 : x
  2. Step 2: Convert to fraction form
    2,150.35/3,225.83 = 689.38/x
  3. Step 3: Cross multiply
    2,150.35x = 3,225.83 × 689.38
  4. Step 4: Simplify right side
    2,150.35x = 2,223,811.17
  5. Step 5: Solve for x
    x = 2,223,811.17/2,150.35
  6. Step 6: Final answer
    x = 1,034.16

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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.