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Finding the Fourth Proportional to 2,484.54, 3,427.81 and 1,776.46

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Solution

The fourth proportional to 2,484.54, 3,427.81 and 1,776.46 is: 2,450.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.54 : 3,427.81 = 1,776.46 : x
  2. Step 2: Convert to fraction form
    2,484.54/3,427.81 = 1,776.46/x
  3. Step 3: Cross multiply
    2,484.54x = 3,427.81 × 1,776.46
  4. Step 4: Simplify right side
    2,484.54x = 6,089,367.35
  5. Step 5: Solve for x
    x = 6,089,367.35/2,484.54
  6. Step 6: Final answer
    x = 2,450.90

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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.