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Finding the Fourth Proportional to 1,638.80, 2,452.80 and 1,271.60

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Solution

The fourth proportional to 1,638.80, 2,452.80 and 1,271.60 is: 1,903.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.80 : 2,452.80 = 1,271.60 : x
  2. Step 2: Convert to fraction form
    1,638.80/2,452.80 = 1,271.60/x
  3. Step 3: Cross multiply
    1,638.80x = 2,452.80 × 1,271.60
  4. Step 4: Simplify right side
    1,638.80x = 3,118,980.48
  5. Step 5: Solve for x
    x = 3,118,980.48/1,638.80
  6. Step 6: Final answer
    x = 1,903.21

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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.