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Finding the Fourth Proportional to 2,594.09, 3,887.71 and 949.05

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Solution

The fourth proportional to 2,594.09, 3,887.71 and 949.05 is: 1,422.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.09 : 3,887.71 = 949.05 : x
  2. Step 2: Convert to fraction form
    2,594.09/3,887.71 = 949.05/x
  3. Step 3: Cross multiply
    2,594.09x = 3,887.71 × 949.05
  4. Step 4: Simplify right side
    2,594.09x = 3,689,646.94
  5. Step 5: Solve for x
    x = 3,689,646.94/2,594.09
  6. Step 6: Final answer
    x = 1,422.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.