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Finding the Fourth Proportional to 1,685.32, 2,325.02 and 1,021.92

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Solution

The fourth proportional to 1,685.32, 2,325.02 and 1,021.92 is: 1,409.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.32 : 2,325.02 = 1,021.92 : x
  2. Step 2: Convert to fraction form
    1,685.32/2,325.02 = 1,021.92/x
  3. Step 3: Cross multiply
    1,685.32x = 2,325.02 × 1,021.92
  4. Step 4: Simplify right side
    1,685.32x = 2,375,984.44
  5. Step 5: Solve for x
    x = 2,375,984.44/1,685.32
  6. Step 6: Final answer
    x = 1,409.81

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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.