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Finding the Fourth Proportional to 2,828.96, 4,242.36 and 1,097.36

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Solution

The fourth proportional to 2,828.96, 4,242.36 and 1,097.36 is: 1,645.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.96 : 4,242.36 = 1,097.36 : x
  2. Step 2: Convert to fraction form
    2,828.96/4,242.36 = 1,097.36/x
  3. Step 3: Cross multiply
    2,828.96x = 4,242.36 × 1,097.36
  4. Step 4: Simplify right side
    2,828.96x = 4,655,396.17
  5. Step 5: Solve for x
    x = 4,655,396.17/2,828.96
  6. Step 6: Final answer
    x = 1,645.62

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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.