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Finding the Fourth Proportional to 3,311.97, 4,966.34 and 1,925.70

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Solution

The fourth proportional to 3,311.97, 4,966.34 and 1,925.70 is: 2,887.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.97 : 4,966.34 = 1,925.70 : x
  2. Step 2: Convert to fraction form
    3,311.97/4,966.34 = 1,925.70/x
  3. Step 3: Cross multiply
    3,311.97x = 4,966.34 × 1,925.70
  4. Step 4: Simplify right side
    3,311.97x = 9,563,671.31
  5. Step 5: Solve for x
    x = 9,563,671.31/3,311.97
  6. Step 6: Final answer
    x = 2,887.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.