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Finding the Fourth Proportional to 3,256.52, 4,494 and 1,840.22

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Solution

The fourth proportional to 3,256.52, 4,494 and 1,840.22 is: 2,539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.52 : 4,494 = 1,840.22 : x
  2. Step 2: Convert to fraction form
    3,256.52/4,494 = 1,840.22/x
  3. Step 3: Cross multiply
    3,256.52x = 4,494 × 1,840.22
  4. Step 4: Simplify right side
    3,256.52x = 8,269,926.21
  5. Step 5: Solve for x
    x = 8,269,926.21/3,256.52
  6. Step 6: Final answer
    x = 2,539.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.