Home / 2,133.52-2,944.28-1,202

Finding the Fourth Proportional to 2,133.52, 2,944.28 and 1,202

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Solution

The fourth proportional to 2,133.52, 2,944.28 and 1,202 is: 1,658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.52 : 2,944.28 = 1,202 : x
  2. Step 2: Convert to fraction form
    2,133.52/2,944.28 = 1,202/x
  3. Step 3: Cross multiply
    2,133.52x = 2,944.28 × 1,202
  4. Step 4: Simplify right side
    2,133.52x = 3,539,024.56
  5. Step 5: Solve for x
    x = 3,539,024.56/2,133.52
  6. Step 6: Final answer
    x = 1,658.77

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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.