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Finding the Fourth Proportional to 2,296.48, 3,169.56 and 1,413.04

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Solution

The fourth proportional to 2,296.48, 3,169.56 and 1,413.04 is: 1,950.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.48 : 3,169.56 = 1,413.04 : x
  2. Step 2: Convert to fraction form
    2,296.48/3,169.56 = 1,413.04/x
  3. Step 3: Cross multiply
    2,296.48x = 3,169.56 × 1,413.04
  4. Step 4: Simplify right side
    2,296.48x = 4,478,715.06
  5. Step 5: Solve for x
    x = 4,478,715.06/2,296.48
  6. Step 6: Final answer
    x = 1,950.25

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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.