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Finding the Fourth Proportional to 2,558.88, 3,841.56 and 2,176.56

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Solution

The fourth proportional to 2,558.88, 3,841.56 and 2,176.56 is: 3,267.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.88 : 3,841.56 = 2,176.56 : x
  2. Step 2: Convert to fraction form
    2,558.88/3,841.56 = 2,176.56/x
  3. Step 3: Cross multiply
    2,558.88x = 3,841.56 × 2,176.56
  4. Step 4: Simplify right side
    2,558.88x = 8,361,385.83
  5. Step 5: Solve for x
    x = 8,361,385.83/2,558.88
  6. Step 6: Final answer
    x = 3,267.60

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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.