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Finding the Fourth Proportional to 2,461.38, 3,397.03 and 1,413.45

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Solution

The fourth proportional to 2,461.38, 3,397.03 and 1,413.45 is: 1,950.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.38 : 3,397.03 = 1,413.45 : x
  2. Step 2: Convert to fraction form
    2,461.38/3,397.03 = 1,413.45/x
  3. Step 3: Cross multiply
    2,461.38x = 3,397.03 × 1,413.45
  4. Step 4: Simplify right side
    2,461.38x = 4,801,532.05
  5. Step 5: Solve for x
    x = 4,801,532.05/2,461.38
  6. Step 6: Final answer
    x = 1,950.75

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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.