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Finding the Fourth Proportional to 2,071.68, 2,859.12 and 1,546.80

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Solution

The fourth proportional to 2,071.68, 2,859.12 and 1,546.80 is: 2,134.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.68 : 2,859.12 = 1,546.80 : x
  2. Step 2: Convert to fraction form
    2,071.68/2,859.12 = 1,546.80/x
  3. Step 3: Cross multiply
    2,071.68x = 2,859.12 × 1,546.80
  4. Step 4: Simplify right side
    2,071.68x = 4,422,486.82
  5. Step 5: Solve for x
    x = 4,422,486.82/2,071.68
  6. Step 6: Final answer
    x = 2,134.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.