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Finding the Fourth Proportional to 1,806.31, 2,709.47 and 985.28

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Solution

The fourth proportional to 1,806.31, 2,709.47 and 985.28 is: 1,477.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.31 : 2,709.47 = 985.28 : x
  2. Step 2: Convert to fraction form
    1,806.31/2,709.47 = 985.28/x
  3. Step 3: Cross multiply
    1,806.31x = 2,709.47 × 985.28
  4. Step 4: Simplify right side
    1,806.31x = 2,669,575.52
  5. Step 5: Solve for x
    x = 2,669,575.52/1,806.31
  6. Step 6: Final answer
    x = 1,477.92

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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.