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Finding the Fourth Proportional to 2,413.40, 3,618.48 and 1,684.40

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Solution

The fourth proportional to 2,413.40, 3,618.48 and 1,684.40 is: 2,525.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.40 : 3,618.48 = 1,684.40 : x
  2. Step 2: Convert to fraction form
    2,413.40/3,618.48 = 1,684.40/x
  3. Step 3: Cross multiply
    2,413.40x = 3,618.48 × 1,684.40
  4. Step 4: Simplify right side
    2,413.40x = 6,094,967.71
  5. Step 5: Solve for x
    x = 6,094,967.71/2,413.40
  6. Step 6: Final answer
    x = 2,525.47

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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.