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Finding the Fourth Proportional to 1,323.87, 1,984.56 and 1,214.52

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Solution

The fourth proportional to 1,323.87, 1,984.56 and 1,214.52 is: 1,820.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.87 : 1,984.56 = 1,214.52 : x
  2. Step 2: Convert to fraction form
    1,323.87/1,984.56 = 1,214.52/x
  3. Step 3: Cross multiply
    1,323.87x = 1,984.56 × 1,214.52
  4. Step 4: Simplify right side
    1,323.87x = 2,410,287.81
  5. Step 5: Solve for x
    x = 2,410,287.81/1,323.87
  6. Step 6: Final answer
    x = 1,820.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.