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Finding the Fourth Proportional to 1,608.12, 2,413.14 and 1,061.88

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Solution

The fourth proportional to 1,608.12, 2,413.14 and 1,061.88 is: 1,593.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.12 : 2,413.14 = 1,061.88 : x
  2. Step 2: Convert to fraction form
    1,608.12/2,413.14 = 1,061.88/x
  3. Step 3: Cross multiply
    1,608.12x = 2,413.14 × 1,061.88
  4. Step 4: Simplify right side
    1,608.12x = 2,562,465.10
  5. Step 5: Solve for x
    x = 2,562,465.10/1,608.12
  6. Step 6: Final answer
    x = 1,593.45

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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.