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Finding the Fourth Proportional to 3,430.91, 4,734.66 and 1,859

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Solution

The fourth proportional to 3,430.91, 4,734.66 and 1,859 is: 2,565.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.91 : 4,734.66 = 1,859 : x
  2. Step 2: Convert to fraction form
    3,430.91/4,734.66 = 1,859/x
  3. Step 3: Cross multiply
    3,430.91x = 4,734.66 × 1,859
  4. Step 4: Simplify right side
    3,430.91x = 8,801,732.94
  5. Step 5: Solve for x
    x = 8,801,732.94/3,430.91
  6. Step 6: Final answer
    x = 2,565.42

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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.