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Finding the Fourth Proportional to 1,233.66, 1,842.36 and 1,097.58

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Solution

The fourth proportional to 1,233.66, 1,842.36 and 1,097.58 is: 1,639.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.66 : 1,842.36 = 1,097.58 : x
  2. Step 2: Convert to fraction form
    1,233.66/1,842.36 = 1,097.58/x
  3. Step 3: Cross multiply
    1,233.66x = 1,842.36 × 1,097.58
  4. Step 4: Simplify right side
    1,233.66x = 2,022,140.28
  5. Step 5: Solve for x
    x = 2,022,140.28/1,233.66
  6. Step 6: Final answer
    x = 1,639.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.