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Finding the Fourth Proportional to 1,964.79, 2,714.92 and 1,462.68

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Solution

The fourth proportional to 1,964.79, 2,714.92 and 1,462.68 is: 2,021.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.79 : 2,714.92 = 1,462.68 : x
  2. Step 2: Convert to fraction form
    1,964.79/2,714.92 = 1,462.68/x
  3. Step 3: Cross multiply
    1,964.79x = 2,714.92 × 1,462.68
  4. Step 4: Simplify right side
    1,964.79x = 3,971,055.53
  5. Step 5: Solve for x
    x = 3,971,055.53/1,964.79
  6. Step 6: Final answer
    x = 2,021.11

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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.