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Finding the Fourth Proportional to 1,806.10, 2,707.80 and 985.30

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Solution

The fourth proportional to 1,806.10, 2,707.80 and 985.30 is: 1,477.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.10 : 2,707.80 = 985.30 : x
  2. Step 2: Convert to fraction form
    1,806.10/2,707.80 = 985.30/x
  3. Step 3: Cross multiply
    1,806.10x = 2,707.80 × 985.30
  4. Step 4: Simplify right side
    1,806.10x = 2,667,995.34
  5. Step 5: Solve for x
    x = 2,667,995.34/1,806.10
  6. Step 6: Final answer
    x = 1,477.21

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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.