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Finding the Fourth Proportional to 2,856.88, 3,941.40 and 1,677.52

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Solution

The fourth proportional to 2,856.88, 3,941.40 and 1,677.52 is: 2,314.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.88 : 3,941.40 = 1,677.52 : x
  2. Step 2: Convert to fraction form
    2,856.88/3,941.40 = 1,677.52/x
  3. Step 3: Cross multiply
    2,856.88x = 3,941.40 × 1,677.52
  4. Step 4: Simplify right side
    2,856.88x = 6,611,777.33
  5. Step 5: Solve for x
    x = 6,611,777.33/2,856.88
  6. Step 6: Final answer
    x = 2,314.33

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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.