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Finding the Fourth Proportional to 3,364.50, 4,642.30 and 1,966.98

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Solution

The fourth proportional to 3,364.50, 4,642.30 and 1,966.98 is: 2,714.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.50 : 4,642.30 = 1,966.98 : x
  2. Step 2: Convert to fraction form
    3,364.50/4,642.30 = 1,966.98/x
  3. Step 3: Cross multiply
    3,364.50x = 4,642.30 × 1,966.98
  4. Step 4: Simplify right side
    3,364.50x = 9,131,311.25
  5. Step 5: Solve for x
    x = 9,131,311.25/3,364.50
  6. Step 6: Final answer
    x = 2,714.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.