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Finding the Fourth Proportional to 2,788.08, 3,846.36 and 1,856.88

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Solution

The fourth proportional to 2,788.08, 3,846.36 and 1,856.88 is: 2,561.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.08 : 3,846.36 = 1,856.88 : x
  2. Step 2: Convert to fraction form
    2,788.08/3,846.36 = 1,856.88/x
  3. Step 3: Cross multiply
    2,788.08x = 3,846.36 × 1,856.88
  4. Step 4: Simplify right side
    2,788.08x = 7,142,228.96
  5. Step 5: Solve for x
    x = 7,142,228.96/2,788.08
  6. Step 6: Final answer
    x = 2,561.70

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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.