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Finding the Fourth Proportional to 2,546.74, 3,514.71 and 1,427.66

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Solution

The fourth proportional to 2,546.74, 3,514.71 and 1,427.66 is: 1,970.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.74 : 3,514.71 = 1,427.66 : x
  2. Step 2: Convert to fraction form
    2,546.74/3,514.71 = 1,427.66/x
  3. Step 3: Cross multiply
    2,546.74x = 3,514.71 × 1,427.66
  4. Step 4: Simplify right side
    2,546.74x = 5,017,793.31
  5. Step 5: Solve for x
    x = 5,017,793.31/2,546.74
  6. Step 6: Final answer
    x = 1,970.28

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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.