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Finding the Fourth Proportional to 2,404.16, 3,605.60 and 942.50

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Solution

The fourth proportional to 2,404.16, 3,605.60 and 942.50 is: 1,413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.16 : 3,605.60 = 942.50 : x
  2. Step 2: Convert to fraction form
    2,404.16/3,605.60 = 942.50/x
  3. Step 3: Cross multiply
    2,404.16x = 3,605.60 × 942.50
  4. Step 4: Simplify right side
    2,404.16x = 3,398,278
  5. Step 5: Solve for x
    x = 3,398,278/2,404.16
  6. Step 6: Final answer
    x = 1,413.50

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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.