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Finding the Fourth Proportional to 3,074.77, 4,616.80 and 2,456.64

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Solution

The fourth proportional to 3,074.77, 4,616.80 and 2,456.64 is: 3,688.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.77 : 4,616.80 = 2,456.64 : x
  2. Step 2: Convert to fraction form
    3,074.77/4,616.80 = 2,456.64/x
  3. Step 3: Cross multiply
    3,074.77x = 4,616.80 × 2,456.64
  4. Step 4: Simplify right side
    3,074.77x = 11,341,815.55
  5. Step 5: Solve for x
    x = 11,341,815.55/3,074.77
  6. Step 6: Final answer
    x = 3,688.67

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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.