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Finding the Fourth Proportional to 2,141.55, 3,212.33 and 986.67

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Solution

The fourth proportional to 2,141.55, 3,212.33 and 986.67 is: 1,480.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.55 : 3,212.33 = 986.67 : x
  2. Step 2: Convert to fraction form
    2,141.55/3,212.33 = 986.67/x
  3. Step 3: Cross multiply
    2,141.55x = 3,212.33 × 986.67
  4. Step 4: Simplify right side
    2,141.55x = 3,169,504.71
  5. Step 5: Solve for x
    x = 3,169,504.71/2,141.55
  6. Step 6: Final answer
    x = 1,480.01

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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.