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Finding the Fourth Proportional to 2,772.84, 3,826.90 and 1,779.24

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Solution

The fourth proportional to 2,772.84, 3,826.90 and 1,779.24 is: 2,455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.84 : 3,826.90 = 1,779.24 : x
  2. Step 2: Convert to fraction form
    2,772.84/3,826.90 = 1,779.24/x
  3. Step 3: Cross multiply
    2,772.84x = 3,826.90 × 1,779.24
  4. Step 4: Simplify right side
    2,772.84x = 6,808,973.56
  5. Step 5: Solve for x
    x = 6,808,973.56/2,772.84
  6. Step 6: Final answer
    x = 2,455.60

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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.