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Finding the Fourth Proportional to 2,546.82, 3,514.82 and 1,428.01

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Solution

The fourth proportional to 2,546.82, 3,514.82 and 1,428.01 is: 1,970.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.82 : 3,514.82 = 1,428.01 : x
  2. Step 2: Convert to fraction form
    2,546.82/3,514.82 = 1,428.01/x
  3. Step 3: Cross multiply
    2,546.82x = 3,514.82 × 1,428.01
  4. Step 4: Simplify right side
    2,546.82x = 5,019,182.18
  5. Step 5: Solve for x
    x = 5,019,182.18/2,546.82
  6. Step 6: Final answer
    x = 1,970.76

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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.