Home / 2,741.12-4,111.68-1,202

Finding the Fourth Proportional to 2,741.12, 4,111.68 and 1,202

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Solution

The fourth proportional to 2,741.12, 4,111.68 and 1,202 is: 1,803.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.12 : 4,111.68 = 1,202 : x
  2. Step 2: Convert to fraction form
    2,741.12/4,111.68 = 1,202/x
  3. Step 3: Cross multiply
    2,741.12x = 4,111.68 × 1,202
  4. Step 4: Simplify right side
    2,741.12x = 4,942,239.36
  5. Step 5: Solve for x
    x = 4,942,239.36/2,741.12
  6. Step 6: Final answer
    x = 1,803.00

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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.