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Finding the Fourth Proportional to 2,735.59, 4,100.95 and 1,003.81

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Solution

The fourth proportional to 2,735.59, 4,100.95 and 1,003.81 is: 1,504.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.59 : 4,100.95 = 1,003.81 : x
  2. Step 2: Convert to fraction form
    2,735.59/4,100.95 = 1,003.81/x
  3. Step 3: Cross multiply
    2,735.59x = 4,100.95 × 1,003.81
  4. Step 4: Simplify right side
    2,735.59x = 4,116,574.62
  5. Step 5: Solve for x
    x = 4,116,574.62/2,735.59
  6. Step 6: Final answer
    x = 1,504.82

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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.