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Finding the Fourth Proportional to 2,316.49, 3,198.23 and 1,432.81

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Solution

The fourth proportional to 2,316.49, 3,198.23 and 1,432.81 is: 1,978.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.49 : 3,198.23 = 1,432.81 : x
  2. Step 2: Convert to fraction form
    2,316.49/3,198.23 = 1,432.81/x
  3. Step 3: Cross multiply
    2,316.49x = 3,198.23 × 1,432.81
  4. Step 4: Simplify right side
    2,316.49x = 4,582,455.93
  5. Step 5: Solve for x
    x = 4,582,455.93/2,316.49
  6. Step 6: Final answer
    x = 1,978.19

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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.