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Finding the Fourth Proportional to 2,958.81, 4,083.14 and 1,632.57

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Solution

The fourth proportional to 2,958.81, 4,083.14 and 1,632.57 is: 2,252.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958.81 : 4,083.14 = 1,632.57 : x
  2. Step 2: Convert to fraction form
    2,958.81/4,083.14 = 1,632.57/x
  3. Step 3: Cross multiply
    2,958.81x = 4,083.14 × 1,632.57
  4. Step 4: Simplify right side
    2,958.81x = 6,666,003.71
  5. Step 5: Solve for x
    x = 6,666,003.71/2,958.81
  6. Step 6: Final answer
    x = 2,252.93

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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.