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Finding the Fourth Proportional to 3,413.71, 4,698.69 and 2,417.26

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Solution

The fourth proportional to 3,413.71, 4,698.69 and 2,417.26 is: 3,327.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.71 : 4,698.69 = 2,417.26 : x
  2. Step 2: Convert to fraction form
    3,413.71/4,698.69 = 2,417.26/x
  3. Step 3: Cross multiply
    3,413.71x = 4,698.69 × 2,417.26
  4. Step 4: Simplify right side
    3,413.71x = 11,357,961.80
  5. Step 5: Solve for x
    x = 11,357,961.80/3,413.71
  6. Step 6: Final answer
    x = 3,327.16

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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.