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Finding the Fourth Proportional to 1,097.10, 1,641.66 and 944.82

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Solution

The fourth proportional to 1,097.10, 1,641.66 and 944.82 is: 1,413.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.10 : 1,641.66 = 944.82 : x
  2. Step 2: Convert to fraction form
    1,097.10/1,641.66 = 944.82/x
  3. Step 3: Cross multiply
    1,097.10x = 1,641.66 × 944.82
  4. Step 4: Simplify right side
    1,097.10x = 1,551,073.20
  5. Step 5: Solve for x
    x = 1,551,073.20/1,097.10
  6. Step 6: Final answer
    x = 1,413.79

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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.