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Finding the Fourth Proportional to 1,308.69, 1,966.68 and 1,222.02

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Solution

The fourth proportional to 1,308.69, 1,966.68 and 1,222.02 is: 1,836.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.69 : 1,966.68 = 1,222.02 : x
  2. Step 2: Convert to fraction form
    1,308.69/1,966.68 = 1,222.02/x
  3. Step 3: Cross multiply
    1,308.69x = 1,966.68 × 1,222.02
  4. Step 4: Simplify right side
    1,308.69x = 2,403,322.29
  5. Step 5: Solve for x
    x = 2,403,322.29/1,308.69
  6. Step 6: Final answer
    x = 1,836.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.