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Finding the Fourth Proportional to 2,794.83, 3,856.50 and 1,675.55

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Solution

The fourth proportional to 2,794.83, 3,856.50 and 1,675.55 is: 2,312.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.83 : 3,856.50 = 1,675.55 : x
  2. Step 2: Convert to fraction form
    2,794.83/3,856.50 = 1,675.55/x
  3. Step 3: Cross multiply
    2,794.83x = 3,856.50 × 1,675.55
  4. Step 4: Simplify right side
    2,794.83x = 6,461,739.29
  5. Step 5: Solve for x
    x = 6,461,739.29/2,794.83
  6. Step 6: Final answer
    x = 2,312.03

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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.