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Finding the Fourth Proportional to 2,874.63, 4,313.58 and 1,413.80

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Solution

The fourth proportional to 2,874.63, 4,313.58 and 1,413.80 is: 2,121.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.63 : 4,313.58 = 1,413.80 : x
  2. Step 2: Convert to fraction form
    2,874.63/4,313.58 = 1,413.80/x
  3. Step 3: Cross multiply
    2,874.63x = 4,313.58 × 1,413.80
  4. Step 4: Simplify right side
    2,874.63x = 6,098,528.71
  5. Step 5: Solve for x
    x = 6,098,528.71/2,874.63
  6. Step 6: Final answer
    x = 2,121.50

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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.