Home / 2,046.36-2,823.48-1,162

Finding the Fourth Proportional to 2,046.36, 2,823.48 and 1,162

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Solution

The fourth proportional to 2,046.36, 2,823.48 and 1,162 is: 1,603.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.36 : 2,823.48 = 1,162 : x
  2. Step 2: Convert to fraction form
    2,046.36/2,823.48 = 1,162/x
  3. Step 3: Cross multiply
    2,046.36x = 2,823.48 × 1,162
  4. Step 4: Simplify right side
    2,046.36x = 3,280,883.76
  5. Step 5: Solve for x
    x = 3,280,883.76/2,046.36
  6. Step 6: Final answer
    x = 1,603.28

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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.