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Finding the Fourth Proportional to 3,435.57, 4,741.77 and 1,943.49

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Solution

The fourth proportional to 3,435.57, 4,741.77 and 1,943.49 is: 2,682.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.57 : 4,741.77 = 1,943.49 : x
  2. Step 2: Convert to fraction form
    3,435.57/4,741.77 = 1,943.49/x
  3. Step 3: Cross multiply
    3,435.57x = 4,741.77 × 1,943.49
  4. Step 4: Simplify right side
    3,435.57x = 9,215,582.58
  5. Step 5: Solve for x
    x = 9,215,582.58/3,435.57
  6. Step 6: Final answer
    x = 2,682.40

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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.