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Finding the Fourth Proportional to 2,546.51, 3,514.18 and 1,427.46

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Solution

The fourth proportional to 2,546.51, 3,514.18 and 1,427.46 is: 1,969.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.51 : 3,514.18 = 1,427.46 : x
  2. Step 2: Convert to fraction form
    2,546.51/3,514.18 = 1,427.46/x
  3. Step 3: Cross multiply
    2,546.51x = 3,514.18 × 1,427.46
  4. Step 4: Simplify right side
    2,546.51x = 5,016,333.81
  5. Step 5: Solve for x
    x = 5,016,333.81/2,546.51
  6. Step 6: Final answer
    x = 1,969.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.