Home / 1,901.12-2,623.74-1,202

Finding the Fourth Proportional to 1,901.12, 2,623.74 and 1,202

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Solution

The fourth proportional to 1,901.12, 2,623.74 and 1,202 is: 1,658.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.12 : 2,623.74 = 1,202 : x
  2. Step 2: Convert to fraction form
    1,901.12/2,623.74 = 1,202/x
  3. Step 3: Cross multiply
    1,901.12x = 2,623.74 × 1,202
  4. Step 4: Simplify right side
    1,901.12x = 3,153,735.48
  5. Step 5: Solve for x
    x = 3,153,735.48/1,901.12
  6. Step 6: Final answer
    x = 1,658.88

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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.