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Finding the Fourth Proportional to 2,097.12, 2,892.96 and 1,397.28

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Solution

The fourth proportional to 2,097.12, 2,892.96 and 1,397.28 is: 1,927.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.12 : 2,892.96 = 1,397.28 : x
  2. Step 2: Convert to fraction form
    2,097.12/2,892.96 = 1,397.28/x
  3. Step 3: Cross multiply
    2,097.12x = 2,892.96 × 1,397.28
  4. Step 4: Simplify right side
    2,097.12x = 4,042,275.15
  5. Step 5: Solve for x
    x = 4,042,275.15/2,097.12
  6. Step 6: Final answer
    x = 1,927.54

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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.