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Finding the Fourth Proportional to 1,368.96, 2,057.22 and 1,097.88

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Solution

The fourth proportional to 1,368.96, 2,057.22 and 1,097.88 is: 1,649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.96 : 2,057.22 = 1,097.88 : x
  2. Step 2: Convert to fraction form
    1,368.96/2,057.22 = 1,097.88/x
  3. Step 3: Cross multiply
    1,368.96x = 2,057.22 × 1,097.88
  4. Step 4: Simplify right side
    1,368.96x = 2,258,580.69
  5. Step 5: Solve for x
    x = 2,258,580.69/1,368.96
  6. Step 6: Final answer
    x = 1,649.85

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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.