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Finding the Fourth Proportional to 2,316.93, 3,197.46 and 1,322.29

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Solution

The fourth proportional to 2,316.93, 3,197.46 and 1,322.29 is: 1,824.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.93 : 3,197.46 = 1,322.29 : x
  2. Step 2: Convert to fraction form
    2,316.93/3,197.46 = 1,322.29/x
  3. Step 3: Cross multiply
    2,316.93x = 3,197.46 × 1,322.29
  4. Step 4: Simplify right side
    2,316.93x = 4,227,969.38
  5. Step 5: Solve for x
    x = 4,227,969.38/2,316.93
  6. Step 6: Final answer
    x = 1,824.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.