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Finding the Fourth Proportional to 2,485.44, 3,726 and 1,934.64

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Solution

The fourth proportional to 2,485.44, 3,726 and 1,934.64 is: 2,900.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.44 : 3,726 = 1,934.64 : x
  2. Step 2: Convert to fraction form
    2,485.44/3,726 = 1,934.64/x
  3. Step 3: Cross multiply
    2,485.44x = 3,726 × 1,934.64
  4. Step 4: Simplify right side
    2,485.44x = 7,208,468.64
  5. Step 5: Solve for x
    x = 7,208,468.64/2,485.44
  6. Step 6: Final answer
    x = 2,900.28

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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.