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Finding the Fourth Proportional to 2,405.03, 3,606.05 and 942.50

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Solution

The fourth proportional to 2,405.03, 3,606.05 and 942.50 is: 1,413.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.03 : 3,606.05 = 942.50 : x
  2. Step 2: Convert to fraction form
    2,405.03/3,606.05 = 942.50/x
  3. Step 3: Cross multiply
    2,405.03x = 3,606.05 × 942.50
  4. Step 4: Simplify right side
    2,405.03x = 3,398,713.50
  5. Step 5: Solve for x
    x = 3,398,713.50/2,405.03
  6. Step 6: Final answer
    x = 1,413.17

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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.