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Finding the Fourth Proportional to 2,546.93, 3,514.46 and 1,427.80

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Solution

The fourth proportional to 2,546.93, 3,514.46 and 1,427.80 is: 1,970.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.93 : 3,514.46 = 1,427.80 : x
  2. Step 2: Convert to fraction form
    2,546.93/3,514.46 = 1,427.80/x
  3. Step 3: Cross multiply
    2,546.93x = 3,514.46 × 1,427.80
  4. Step 4: Simplify right side
    2,546.93x = 5,017,945.99
  5. Step 5: Solve for x
    x = 5,017,945.99/2,546.93
  6. Step 6: Final answer
    x = 1,970.19

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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.