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Finding the Fourth Proportional to 2,965.53, 4,094.34 and 1,903.76

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Solution

The fourth proportional to 2,965.53, 4,094.34 and 1,903.76 is: 2,628.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.53 : 4,094.34 = 1,903.76 : x
  2. Step 2: Convert to fraction form
    2,965.53/4,094.34 = 1,903.76/x
  3. Step 3: Cross multiply
    2,965.53x = 4,094.34 × 1,903.76
  4. Step 4: Simplify right side
    2,965.53x = 7,794,640.72
  5. Step 5: Solve for x
    x = 7,794,640.72/2,965.53
  6. Step 6: Final answer
    x = 2,628.41

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