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Finding the Fourth Proportional to 1,796.52, 2,478.66 and 1,097.16

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Solution

The fourth proportional to 1,796.52, 2,478.66 and 1,097.16 is: 1,513.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.52 : 2,478.66 = 1,097.16 : x
  2. Step 2: Convert to fraction form
    1,796.52/2,478.66 = 1,097.16/x
  3. Step 3: Cross multiply
    1,796.52x = 2,478.66 × 1,097.16
  4. Step 4: Simplify right side
    1,796.52x = 2,719,486.61
  5. Step 5: Solve for x
    x = 2,719,486.61/1,796.52
  6. Step 6: Final answer
    x = 1,513.75

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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.