Home / 2,038.42-2,813.01-1,199.12

Finding the Fourth Proportional to 2,038.42, 2,813.01 and 1,199.12

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Solution

The fourth proportional to 2,038.42, 2,813.01 and 1,199.12 is: 1,654.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.42 : 2,813.01 = 1,199.12 : x
  2. Step 2: Convert to fraction form
    2,038.42/2,813.01 = 1,199.12/x
  3. Step 3: Cross multiply
    2,038.42x = 2,813.01 × 1,199.12
  4. Step 4: Simplify right side
    2,038.42x = 3,373,140.56
  5. Step 5: Solve for x
    x = 3,373,140.56/2,038.42
  6. Step 6: Final answer
    x = 1,654.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.