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Finding the Fourth Proportional to 1,706.76, 2,559.07 and 1,413.54

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Solution

The fourth proportional to 1,706.76, 2,559.07 and 1,413.54 is: 2,119.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.76 : 2,559.07 = 1,413.54 : x
  2. Step 2: Convert to fraction form
    1,706.76/2,559.07 = 1,413.54/x
  3. Step 3: Cross multiply
    1,706.76x = 2,559.07 × 1,413.54
  4. Step 4: Simplify right side
    1,706.76x = 3,617,347.81
  5. Step 5: Solve for x
    x = 3,617,347.81/1,706.76
  6. Step 6: Final answer
    x = 2,119.42

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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.