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Finding the Fourth Proportional to 1,898.40, 2,840.31 and 1,413.63

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Solution

The fourth proportional to 1,898.40, 2,840.31 and 1,413.63 is: 2,115.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.40 : 2,840.31 = 1,413.63 : x
  2. Step 2: Convert to fraction form
    1,898.40/2,840.31 = 1,413.63/x
  3. Step 3: Cross multiply
    1,898.40x = 2,840.31 × 1,413.63
  4. Step 4: Simplify right side
    1,898.40x = 4,015,147.43
  5. Step 5: Solve for x
    x = 4,015,147.43/1,898.40
  6. Step 6: Final answer
    x = 2,115.02

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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.