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Finding the Fourth Proportional to 2,161.50, 2,984.04 and 1,322.40

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Solution

The fourth proportional to 2,161.50, 2,984.04 and 1,322.40 is: 1,825.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.50 : 2,984.04 = 1,322.40 : x
  2. Step 2: Convert to fraction form
    2,161.50/2,984.04 = 1,322.40/x
  3. Step 3: Cross multiply
    2,161.50x = 2,984.04 × 1,322.40
  4. Step 4: Simplify right side
    2,161.50x = 3,946,094.50
  5. Step 5: Solve for x
    x = 3,946,094.50/2,161.50
  6. Step 6: Final answer
    x = 1,825.63

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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.