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Finding the Fourth Proportional to 3,166.85, 4,746.15 and 1,704.29

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Solution

The fourth proportional to 3,166.85, 4,746.15 and 1,704.29 is: 2,554.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.85 : 4,746.15 = 1,704.29 : x
  2. Step 2: Convert to fraction form
    3,166.85/4,746.15 = 1,704.29/x
  3. Step 3: Cross multiply
    3,166.85x = 4,746.15 × 1,704.29
  4. Step 4: Simplify right side
    3,166.85x = 8,088,792.25
  5. Step 5: Solve for x
    x = 8,088,792.25/3,166.85
  6. Step 6: Final answer
    x = 2,554.21

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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.