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Finding the Fourth Proportional to 1,560.83, 2,142.06 and 1,413.14

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Solution

The fourth proportional to 1,560.83, 2,142.06 and 1,413.14 is: 1,939.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.83 : 2,142.06 = 1,413.14 : x
  2. Step 2: Convert to fraction form
    1,560.83/2,142.06 = 1,413.14/x
  3. Step 3: Cross multiply
    1,560.83x = 2,142.06 × 1,413.14
  4. Step 4: Simplify right side
    1,560.83x = 3,027,023.60
  5. Step 5: Solve for x
    x = 3,027,023.60/1,560.83
  6. Step 6: Final answer
    x = 1,939.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.