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Finding the Fourth Proportional to 2,413.70, 3,330.70 and 1,351.41

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Solution

The fourth proportional to 2,413.70, 3,330.70 and 1,351.41 is: 1,864.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.70 : 3,330.70 = 1,351.41 : x
  2. Step 2: Convert to fraction form
    2,413.70/3,330.70 = 1,351.41/x
  3. Step 3: Cross multiply
    2,413.70x = 3,330.70 × 1,351.41
  4. Step 4: Simplify right side
    2,413.70x = 4,501,141.29
  5. Step 5: Solve for x
    x = 4,501,141.29/2,413.70
  6. Step 6: Final answer
    x = 1,864.83

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1.5x scale

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.