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Finding the Fourth Proportional to 1,551.25, 2,140.77 and 852.67

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Solution

The fourth proportional to 1,551.25, 2,140.77 and 852.67 is: 1,176.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.25 : 2,140.77 = 852.67 : x
  2. Step 2: Convert to fraction form
    1,551.25/2,140.77 = 852.67/x
  3. Step 3: Cross multiply
    1,551.25x = 2,140.77 × 852.67
  4. Step 4: Simplify right side
    1,551.25x = 1,825,370.36
  5. Step 5: Solve for x
    x = 1,825,370.36/1,551.25
  6. Step 6: Final answer
    x = 1,176.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.