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Finding the Fourth Proportional to 3,148.77, 4,346.06 and 1,823.21

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Solution

The fourth proportional to 3,148.77, 4,346.06 and 1,823.21 is: 2,516.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.77 : 4,346.06 = 1,823.21 : x
  2. Step 2: Convert to fraction form
    3,148.77/4,346.06 = 1,823.21/x
  3. Step 3: Cross multiply
    3,148.77x = 4,346.06 × 1,823.21
  4. Step 4: Simplify right side
    3,148.77x = 7,923,765.50
  5. Step 5: Solve for x
    x = 7,923,765.50/3,148.77
  6. Step 6: Final answer
    x = 2,516.46

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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.