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Finding the Fourth Proportional to 2,316.68, 3,198.12 and 1,433

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Solution

The fourth proportional to 2,316.68, 3,198.12 and 1,433 is: 1,978.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.68 : 3,198.12 = 1,433 : x
  2. Step 2: Convert to fraction form
    2,316.68/3,198.12 = 1,433/x
  3. Step 3: Cross multiply
    2,316.68x = 3,198.12 × 1,433
  4. Step 4: Simplify right side
    2,316.68x = 4,582,905.96
  5. Step 5: Solve for x
    x = 4,582,905.96/2,316.68
  6. Step 6: Final answer
    x = 1,978.22

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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.