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Finding the Fourth Proportional to 2,407.99, 3,322.47 and 1,413.22

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Solution

The fourth proportional to 2,407.99, 3,322.47 and 1,413.22 is: 1,949.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.99 : 3,322.47 = 1,413.22 : x
  2. Step 2: Convert to fraction form
    2,407.99/3,322.47 = 1,413.22/x
  3. Step 3: Cross multiply
    2,407.99x = 3,322.47 × 1,413.22
  4. Step 4: Simplify right side
    2,407.99x = 4,695,381.05
  5. Step 5: Solve for x
    x = 4,695,381.05/2,407.99
  6. Step 6: Final answer
    x = 1,949.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.