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Finding the Fourth Proportional to 1,413.41, 1,948.07 and 940.46

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Solution

The fourth proportional to 1,413.41, 1,948.07 and 940.46 is: 1,296.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.41 : 1,948.07 = 940.46 : x
  2. Step 2: Convert to fraction form
    1,413.41/1,948.07 = 940.46/x
  3. Step 3: Cross multiply
    1,413.41x = 1,948.07 × 940.46
  4. Step 4: Simplify right side
    1,413.41x = 1,832,081.91
  5. Step 5: Solve for x
    x = 1,832,081.91/1,413.41
  6. Step 6: Final answer
    x = 1,296.21

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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.