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Finding the Fourth Proportional to 1,690.68, 2,533.50 and 1,323.84

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Solution

The fourth proportional to 1,690.68, 2,533.50 and 1,323.84 is: 1,983.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.68 : 2,533.50 = 1,323.84 : x
  2. Step 2: Convert to fraction form
    1,690.68/2,533.50 = 1,323.84/x
  3. Step 3: Cross multiply
    1,690.68x = 2,533.50 × 1,323.84
  4. Step 4: Simplify right side
    1,690.68x = 3,353,948.64
  5. Step 5: Solve for x
    x = 3,353,948.64/1,690.68
  6. Step 6: Final answer
    x = 1,983.79

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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.