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Finding the Fourth Proportional to 2,826.64, 3,900.40 and 1,778.50

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Solution

The fourth proportional to 2,826.64, 3,900.40 and 1,778.50 is: 2,454.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.64 : 3,900.40 = 1,778.50 : x
  2. Step 2: Convert to fraction form
    2,826.64/3,900.40 = 1,778.50/x
  3. Step 3: Cross multiply
    2,826.64x = 3,900.40 × 1,778.50
  4. Step 4: Simplify right side
    2,826.64x = 6,936,861.40
  5. Step 5: Solve for x
    x = 6,936,861.40/2,826.64
  6. Step 6: Final answer
    x = 2,454.10

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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.