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Finding the Fourth Proportional to 3,311.48, 4,965.84 and 1,411

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Solution

The fourth proportional to 3,311.48, 4,965.84 and 1,411 is: 2,115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.48 : 4,965.84 = 1,411 : x
  2. Step 2: Convert to fraction form
    3,311.48/4,965.84 = 1,411/x
  3. Step 3: Cross multiply
    3,311.48x = 4,965.84 × 1,411
  4. Step 4: Simplify right side
    3,311.48x = 7,006,800.24
  5. Step 5: Solve for x
    x = 7,006,800.24/3,311.48
  6. Step 6: Final answer
    x = 2,115.91

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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.