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Finding the Fourth Proportional to 1,806.01, 2,704.75 and 882.20

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Solution

The fourth proportional to 1,806.01, 2,704.75 and 882.20 is: 1,321.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.01 : 2,704.75 = 882.20 : x
  2. Step 2: Convert to fraction form
    1,806.01/2,704.75 = 882.20/x
  3. Step 3: Cross multiply
    1,806.01x = 2,704.75 × 882.20
  4. Step 4: Simplify right side
    1,806.01x = 2,386,130.45
  5. Step 5: Solve for x
    x = 2,386,130.45/1,806.01
  6. Step 6: Final answer
    x = 1,321.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.