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Finding the Fourth Proportional to 3,114.64, 4,649.18 and 2,745.60

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Solution

The fourth proportional to 3,114.64, 4,649.18 and 2,745.60 is: 4,098.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.64 : 4,649.18 = 2,745.60 : x
  2. Step 2: Convert to fraction form
    3,114.64/4,649.18 = 2,745.60/x
  3. Step 3: Cross multiply
    3,114.64x = 4,649.18 × 2,745.60
  4. Step 4: Simplify right side
    3,114.64x = 12,764,788.61
  5. Step 5: Solve for x
    x = 12,764,788.61/3,114.64
  6. Step 6: Final answer
    x = 4,098.32

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Why These Related Problems?

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