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Finding the Fourth Proportional to 2,150.07, 3,225.41 and 689.67

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Solution

The fourth proportional to 2,150.07, 3,225.41 and 689.67 is: 1,034.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.07 : 3,225.41 = 689.67 : x
  2. Step 2: Convert to fraction form
    2,150.07/3,225.41 = 689.67/x
  3. Step 3: Cross multiply
    2,150.07x = 3,225.41 × 689.67
  4. Step 4: Simplify right side
    2,150.07x = 2,224,465.07
  5. Step 5: Solve for x
    x = 2,224,465.07/2,150.07
  6. Step 6: Final answer
    x = 1,034.60

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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.