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Finding the Fourth Proportional to 3,461.55, 5,189.23 and 1,269.77

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Solution

The fourth proportional to 3,461.55, 5,189.23 and 1,269.77 is: 1,903.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.55 : 5,189.23 = 1,269.77 : x
  2. Step 2: Convert to fraction form
    3,461.55/5,189.23 = 1,269.77/x
  3. Step 3: Cross multiply
    3,461.55x = 5,189.23 × 1,269.77
  4. Step 4: Simplify right side
    3,461.55x = 6,589,102.63
  5. Step 5: Solve for x
    x = 6,589,102.63/3,461.55
  6. Step 6: Final answer
    x = 1,903.51

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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.