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Finding the Fourth Proportional to 3,068.50, 4,234.54 and 1,671.26

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Solution

The fourth proportional to 3,068.50, 4,234.54 and 1,671.26 is: 2,306.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.50 : 4,234.54 = 1,671.26 : x
  2. Step 2: Convert to fraction form
    3,068.50/4,234.54 = 1,671.26/x
  3. Step 3: Cross multiply
    3,068.50x = 4,234.54 × 1,671.26
  4. Step 4: Simplify right side
    3,068.50x = 7,077,017.32
  5. Step 5: Solve for x
    x = 7,077,017.32/3,068.50
  6. Step 6: Final answer
    x = 2,306.34

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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.