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Finding the Fourth Proportional to 1,609.32, 2,413.98 and 569.40

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Solution

The fourth proportional to 1,609.32, 2,413.98 and 569.40 is: 854.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.32 : 2,413.98 = 569.40 : x
  2. Step 2: Convert to fraction form
    1,609.32/2,413.98 = 569.40/x
  3. Step 3: Cross multiply
    1,609.32x = 2,413.98 × 569.40
  4. Step 4: Simplify right side
    1,609.32x = 1,374,520.21
  5. Step 5: Solve for x
    x = 1,374,520.21/1,609.32
  6. Step 6: Final answer
    x = 854.10

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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.