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Finding the Fourth Proportional to 2,153.88, 3,228.34 and 920.52

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Solution

The fourth proportional to 2,153.88, 3,228.34 and 920.52 is: 1,379.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.88 : 3,228.34 = 920.52 : x
  2. Step 2: Convert to fraction form
    2,153.88/3,228.34 = 920.52/x
  3. Step 3: Cross multiply
    2,153.88x = 3,228.34 × 920.52
  4. Step 4: Simplify right side
    2,153.88x = 2,971,751.54
  5. Step 5: Solve for x
    x = 2,971,751.54/2,153.88
  6. Step 6: Final answer
    x = 1,379.72

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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.