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Finding the Fourth Proportional to 3,100.44, 4,647.66 and 1,019.01

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Solution

The fourth proportional to 3,100.44, 4,647.66 and 1,019.01 is: 1,527.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.44 : 4,647.66 = 1,019.01 : x
  2. Step 2: Convert to fraction form
    3,100.44/4,647.66 = 1,019.01/x
  3. Step 3: Cross multiply
    3,100.44x = 4,647.66 × 1,019.01
  4. Step 4: Simplify right side
    3,100.44x = 4,736,012.02
  5. Step 5: Solve for x
    x = 4,736,012.02/3,100.44
  6. Step 6: Final answer
    x = 1,527.53

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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.