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Finding the Fourth Proportional to 2,407.89, 3,322.89 and 1,463.60

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Solution

The fourth proportional to 2,407.89, 3,322.89 and 1,463.60 is: 2,019.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.89 : 3,322.89 = 1,463.60 : x
  2. Step 2: Convert to fraction form
    2,407.89/3,322.89 = 1,463.60/x
  3. Step 3: Cross multiply
    2,407.89x = 3,322.89 × 1,463.60
  4. Step 4: Simplify right side
    2,407.89x = 4,863,365.19
  5. Step 5: Solve for x
    x = 4,863,365.19/2,407.89
  6. Step 6: Final answer
    x = 2,019.76

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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.