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Finding the Fourth Proportional to 2,594.86, 3,876.22 and 2,334.44

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Solution

The fourth proportional to 2,594.86, 3,876.22 and 2,334.44 is: 3,487.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.86 : 3,876.22 = 2,334.44 : x
  2. Step 2: Convert to fraction form
    2,594.86/3,876.22 = 2,334.44/x
  3. Step 3: Cross multiply
    2,594.86x = 3,876.22 × 2,334.44
  4. Step 4: Simplify right side
    2,594.86x = 9,048,803.02
  5. Step 5: Solve for x
    x = 9,048,803.02/2,594.86
  6. Step 6: Final answer
    x = 3,487.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.