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Finding the Fourth Proportional to 2,316.70, 3,196.83 and 1,322.20

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Solution

The fourth proportional to 2,316.70, 3,196.83 and 1,322.20 is: 1,824.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.70 : 3,196.83 = 1,322.20 : x
  2. Step 2: Convert to fraction form
    2,316.70/3,196.83 = 1,322.20/x
  3. Step 3: Cross multiply
    2,316.70x = 3,196.83 × 1,322.20
  4. Step 4: Simplify right side
    2,316.70x = 4,226,848.63
  5. Step 5: Solve for x
    x = 4,226,848.63/2,316.70
  6. Step 6: Final answer
    x = 1,824.51

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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.