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Finding the Fourth Proportional to 2,739, 4,099.69 and 1,503.35

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Solution

The fourth proportional to 2,739, 4,099.69 and 1,503.35 is: 2,250.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739 : 4,099.69 = 1,503.35 : x
  2. Step 2: Convert to fraction form
    2,739/4,099.69 = 1,503.35/x
  3. Step 3: Cross multiply
    2,739x = 4,099.69 × 1,503.35
  4. Step 4: Simplify right side
    2,739x = 6,163,268.96
  5. Step 5: Solve for x
    x = 6,163,268.96/2,739
  6. Step 6: Final answer
    x = 2,250.19

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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.