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Finding the Fourth Proportional to 3,089.74, 4,632.56 and 1,993.51

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Solution

The fourth proportional to 3,089.74, 4,632.56 and 1,993.51 is: 2,988.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.74 : 4,632.56 = 1,993.51 : x
  2. Step 2: Convert to fraction form
    3,089.74/4,632.56 = 1,993.51/x
  3. Step 3: Cross multiply
    3,089.74x = 4,632.56 × 1,993.51
  4. Step 4: Simplify right side
    3,089.74x = 9,235,040.61
  5. Step 5: Solve for x
    x = 9,235,040.61/3,089.74
  6. Step 6: Final answer
    x = 2,988.94

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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.