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Finding the Fourth Proportional to 2,546.95, 3,514.75 and 1,427.99

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Solution

The fourth proportional to 2,546.95, 3,514.75 and 1,427.99 is: 1,970.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.95 : 3,514.75 = 1,427.99 : x
  2. Step 2: Convert to fraction form
    2,546.95/3,514.75 = 1,427.99/x
  3. Step 3: Cross multiply
    2,546.95x = 3,514.75 × 1,427.99
  4. Step 4: Simplify right side
    2,546.95x = 5,019,027.85
  5. Step 5: Solve for x
    x = 5,019,027.85/2,546.95
  6. Step 6: Final answer
    x = 1,970.60

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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.