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Finding the Fourth Proportional to 1,610.76, 2,413.92 and 917.76

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Solution

The fourth proportional to 1,610.76, 2,413.92 and 917.76 is: 1,375.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.76 : 2,413.92 = 917.76 : x
  2. Step 2: Convert to fraction form
    1,610.76/2,413.92 = 917.76/x
  3. Step 3: Cross multiply
    1,610.76x = 2,413.92 × 917.76
  4. Step 4: Simplify right side
    1,610.76x = 2,215,399.22
  5. Step 5: Solve for x
    x = 2,215,399.22/1,610.76
  6. Step 6: Final answer
    x = 1,375.38

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1.5x scale

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.