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Finding the Fourth Proportional to 4,298.81, 6,449.30 and 1,220.81

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Solution

The fourth proportional to 4,298.81, 6,449.30 and 1,220.81 is: 1,831.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.81 : 6,449.30 = 1,220.81 : x
  2. Step 2: Convert to fraction form
    4,298.81/6,449.30 = 1,220.81/x
  3. Step 3: Cross multiply
    4,298.81x = 6,449.30 × 1,220.81
  4. Step 4: Simplify right side
    4,298.81x = 7,873,389.11
  5. Step 5: Solve for x
    x = 7,873,389.11/4,298.81
  6. Step 6: Final answer
    x = 1,831.53

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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.