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Finding the Fourth Proportional to 1,609.32, 2,413.62 and 569.46

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Solution

The fourth proportional to 1,609.32, 2,413.62 and 569.46 is: 854.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.32 : 2,413.62 = 569.46 : x
  2. Step 2: Convert to fraction form
    1,609.32/2,413.62 = 569.46/x
  3. Step 3: Cross multiply
    1,609.32x = 2,413.62 × 569.46
  4. Step 4: Simplify right side
    1,609.32x = 1,374,460.05
  5. Step 5: Solve for x
    x = 1,374,460.05/1,609.32
  6. Step 6: Final answer
    x = 854.06

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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.