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Finding the Fourth Proportional to 1,166.51, 1,747.71 and 1,097.15

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Solution

The fourth proportional to 1,166.51, 1,747.71 and 1,097.15 is: 1,643.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.51 : 1,747.71 = 1,097.15 : x
  2. Step 2: Convert to fraction form
    1,166.51/1,747.71 = 1,097.15/x
  3. Step 3: Cross multiply
    1,166.51x = 1,747.71 × 1,097.15
  4. Step 4: Simplify right side
    1,166.51x = 1,917,491.29
  5. Step 5: Solve for x
    x = 1,917,491.29/1,166.51
  6. Step 6: Final answer
    x = 1,643.78

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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.