Home / 2,046.09-2,823.78-1,162.17

Finding the Fourth Proportional to 2,046.09, 2,823.78 and 1,162.17

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Solution

The fourth proportional to 2,046.09, 2,823.78 and 1,162.17 is: 1,603.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.09 : 2,823.78 = 1,162.17 : x
  2. Step 2: Convert to fraction form
    2,046.09/2,823.78 = 1,162.17/x
  3. Step 3: Cross multiply
    2,046.09x = 2,823.78 × 1,162.17
  4. Step 4: Simplify right side
    2,046.09x = 3,281,712.40
  5. Step 5: Solve for x
    x = 3,281,712.40/2,046.09
  6. Step 6: Final answer
    x = 1,603.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.