Home / 2,032.74-2,805-1,148.37

Finding the Fourth Proportional to 2,032.74, 2,805 and 1,148.37

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Solution

The fourth proportional to 2,032.74, 2,805 and 1,148.37 is: 1,584.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.74 : 2,805 = 1,148.37 : x
  2. Step 2: Convert to fraction form
    2,032.74/2,805 = 1,148.37/x
  3. Step 3: Cross multiply
    2,032.74x = 2,805 × 1,148.37
  4. Step 4: Simplify right side
    2,032.74x = 3,221,177.85
  5. Step 5: Solve for x
    x = 3,221,177.85/2,032.74
  6. Step 6: Final answer
    x = 1,584.65

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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.