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Finding the Fourth Proportional to 2,413.61, 3,605.45 and 1,750.22

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Solution

The fourth proportional to 2,413.61, 3,605.45 and 1,750.22 is: 2,614.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.61 : 3,605.45 = 1,750.22 : x
  2. Step 2: Convert to fraction form
    2,413.61/3,605.45 = 1,750.22/x
  3. Step 3: Cross multiply
    2,413.61x = 3,605.45 × 1,750.22
  4. Step 4: Simplify right side
    2,413.61x = 6,310,335.47
  5. Step 5: Solve for x
    x = 6,310,335.47/2,413.61
  6. Step 6: Final answer
    x = 2,614.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.