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Finding the Fourth Proportional to 2,501.69, 3,752.53 and 942.03

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Solution

The fourth proportional to 2,501.69, 3,752.53 and 942.03 is: 1,413.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,501.69 : 3,752.53 = 942.03 : x
  2. Step 2: Convert to fraction form
    2,501.69/3,752.53 = 942.03/x
  3. Step 3: Cross multiply
    2,501.69x = 3,752.53 × 942.03
  4. Step 4: Simplify right side
    2,501.69x = 3,534,993.48
  5. Step 5: Solve for x
    x = 3,534,993.48/2,501.69
  6. Step 6: Final answer
    x = 1,413.05

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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.