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Finding the Fourth Proportional to 2,514.63, 3,767.04 and 1,646.31

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Solution

The fourth proportional to 2,514.63, 3,767.04 and 1,646.31 is: 2,466.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.63 : 3,767.04 = 1,646.31 : x
  2. Step 2: Convert to fraction form
    2,514.63/3,767.04 = 1,646.31/x
  3. Step 3: Cross multiply
    2,514.63x = 3,767.04 × 1,646.31
  4. Step 4: Simplify right side
    2,514.63x = 6,201,715.62
  5. Step 5: Solve for x
    x = 6,201,715.62/2,514.63
  6. Step 6: Final answer
    x = 2,466.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.