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Finding the Fourth Proportional to 2,413.92, 3,618.48 and 1,440.48

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Solution

The fourth proportional to 2,413.92, 3,618.48 and 1,440.48 is: 2,159.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.92 : 3,618.48 = 1,440.48 : x
  2. Step 2: Convert to fraction form
    2,413.92/3,618.48 = 1,440.48/x
  3. Step 3: Cross multiply
    2,413.92x = 3,618.48 × 1,440.48
  4. Step 4: Simplify right side
    2,413.92x = 5,212,348.07
  5. Step 5: Solve for x
    x = 5,212,348.07/2,413.92
  6. Step 6: Final answer
    x = 2,159.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.