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Finding the Fourth Proportional to 3,053.60, 4,214.15 and 1,727.42

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Solution

The fourth proportional to 3,053.60, 4,214.15 and 1,727.42 is: 2,383.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.60 : 4,214.15 = 1,727.42 : x
  2. Step 2: Convert to fraction form
    3,053.60/4,214.15 = 1,727.42/x
  3. Step 3: Cross multiply
    3,053.60x = 4,214.15 × 1,727.42
  4. Step 4: Simplify right side
    3,053.60x = 7,279,577.29
  5. Step 5: Solve for x
    x = 7,279,577.29/3,053.60
  6. Step 6: Final answer
    x = 2,383.94

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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.