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Finding the Fourth Proportional to 2,645.76, 3,967.25 and 1,412.84

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Solution

The fourth proportional to 2,645.76, 3,967.25 and 1,412.84 is: 2,118.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.76 : 3,967.25 = 1,412.84 : x
  2. Step 2: Convert to fraction form
    2,645.76/3,967.25 = 1,412.84/x
  3. Step 3: Cross multiply
    2,645.76x = 3,967.25 × 1,412.84
  4. Step 4: Simplify right side
    2,645.76x = 5,605,062.59
  5. Step 5: Solve for x
    x = 5,605,062.59/2,645.76
  6. Step 6: Final answer
    x = 2,118.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.