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Finding the Fourth Proportional to 2,546.64, 3,514.26 and 1,484.44

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Solution

The fourth proportional to 2,546.64, 3,514.26 and 1,484.44 is: 2,048.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.64 : 3,514.26 = 1,484.44 : x
  2. Step 2: Convert to fraction form
    2,546.64/3,514.26 = 1,484.44/x
  3. Step 3: Cross multiply
    2,546.64x = 3,514.26 × 1,484.44
  4. Step 4: Simplify right side
    2,546.64x = 5,216,708.11
  5. Step 5: Solve for x
    x = 5,216,708.11/2,546.64
  6. Step 6: Final answer
    x = 2,048.47

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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.