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Finding the Fourth Proportional to 2,413.96, 3,332.73 and 1,658.95

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Solution

The fourth proportional to 2,413.96, 3,332.73 and 1,658.95 is: 2,290.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.96 : 3,332.73 = 1,658.95 : x
  2. Step 2: Convert to fraction form
    2,413.96/3,332.73 = 1,658.95/x
  3. Step 3: Cross multiply
    2,413.96x = 3,332.73 × 1,658.95
  4. Step 4: Simplify right side
    2,413.96x = 5,528,832.43
  5. Step 5: Solve for x
    x = 5,528,832.43/2,413.96
  6. Step 6: Final answer
    x = 2,290.36

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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.