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Finding the Fourth Proportional to 2,645.76, 3,964.08 and 1,413.75

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Solution

The fourth proportional to 2,645.76, 3,964.08 and 1,413.75 is: 2,118.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.76 : 3,964.08 = 1,413.75 : x
  2. Step 2: Convert to fraction form
    2,645.76/3,964.08 = 1,413.75/x
  3. Step 3: Cross multiply
    2,645.76x = 3,964.08 × 1,413.75
  4. Step 4: Simplify right side
    2,645.76x = 5,604,218.10
  5. Step 5: Solve for x
    x = 5,604,218.10/2,645.76
  6. Step 6: Final answer
    x = 2,118.19

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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.