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Finding the Fourth Proportional to 2,518.56, 3,778.24 and 875.60

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Solution

The fourth proportional to 2,518.56, 3,778.24 and 875.60 is: 1,313.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.56 : 3,778.24 = 875.60 : x
  2. Step 2: Convert to fraction form
    2,518.56/3,778.24 = 875.60/x
  3. Step 3: Cross multiply
    2,518.56x = 3,778.24 × 875.60
  4. Step 4: Simplify right side
    2,518.56x = 3,308,226.94
  5. Step 5: Solve for x
    x = 3,308,226.94/2,518.56
  6. Step 6: Final answer
    x = 1,313.54

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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.