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Finding the Fourth Proportional to 2,856.22, 3,941.52 and 1,677.26

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Solution

The fourth proportional to 2,856.22, 3,941.52 and 1,677.26 is: 2,314.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.22 : 3,941.52 = 1,677.26 : x
  2. Step 2: Convert to fraction form
    2,856.22/3,941.52 = 1,677.26/x
  3. Step 3: Cross multiply
    2,856.22x = 3,941.52 × 1,677.26
  4. Step 4: Simplify right side
    2,856.22x = 6,610,953.84
  5. Step 5: Solve for x
    x = 6,610,953.84/2,856.22
  6. Step 6: Final answer
    x = 2,314.58

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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.