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Finding the Fourth Proportional to 1,759.78, 2,428.82 and 1,097.07

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Solution

The fourth proportional to 1,759.78, 2,428.82 and 1,097.07 is: 1,514.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.78 : 2,428.82 = 1,097.07 : x
  2. Step 2: Convert to fraction form
    1,759.78/2,428.82 = 1,097.07/x
  3. Step 3: Cross multiply
    1,759.78x = 2,428.82 × 1,097.07
  4. Step 4: Simplify right side
    1,759.78x = 2,664,585.56
  5. Step 5: Solve for x
    x = 2,664,585.56/1,759.78
  6. Step 6: Final answer
    x = 1,514.16

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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.