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Finding the Fourth Proportional to 2,691.72, 3,714.53 and 1,643.79

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Solution

The fourth proportional to 2,691.72, 3,714.53 and 1,643.79 is: 2,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.72 : 3,714.53 = 1,643.79 : x
  2. Step 2: Convert to fraction form
    2,691.72/3,714.53 = 1,643.79/x
  3. Step 3: Cross multiply
    2,691.72x = 3,714.53 × 1,643.79
  4. Step 4: Simplify right side
    2,691.72x = 6,105,880.48
  5. Step 5: Solve for x
    x = 6,105,880.48/2,691.72
  6. Step 6: Final answer
    x = 2,268.39

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1.5x scale

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.