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Finding the Fourth Proportional to 1,685.31, 2,325.10 and 1,021.92

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Solution

The fourth proportional to 1,685.31, 2,325.10 and 1,021.92 is: 1,409.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.31 : 2,325.10 = 1,021.92 : x
  2. Step 2: Convert to fraction form
    1,685.31/2,325.10 = 1,021.92/x
  3. Step 3: Cross multiply
    1,685.31x = 2,325.10 × 1,021.92
  4. Step 4: Simplify right side
    1,685.31x = 2,376,063.64
  5. Step 5: Solve for x
    x = 2,376,063.64/1,685.31
  6. Step 6: Final answer
    x = 1,409.87

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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.