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Finding the Fourth Proportional to 2,546.79, 3,514.62 and 1,427.67

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Solution

The fourth proportional to 2,546.79, 3,514.62 and 1,427.67 is: 1,970.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.79 : 3,514.62 = 1,427.67 : x
  2. Step 2: Convert to fraction form
    2,546.79/3,514.62 = 1,427.67/x
  3. Step 3: Cross multiply
    2,546.79x = 3,514.62 × 1,427.67
  4. Step 4: Simplify right side
    2,546.79x = 5,017,722.89
  5. Step 5: Solve for x
    x = 5,017,722.89/2,546.79
  6. Step 6: Final answer
    x = 1,970.22

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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.