Home / 2,823.17-3,894.43-1,985.16

Finding the Fourth Proportional to 2,823.17, 3,894.43 and 1,985.16

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Solution

The fourth proportional to 2,823.17, 3,894.43 and 1,985.16 is: 2,738.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.17 : 3,894.43 = 1,985.16 : x
  2. Step 2: Convert to fraction form
    2,823.17/3,894.43 = 1,985.16/x
  3. Step 3: Cross multiply
    2,823.17x = 3,894.43 × 1,985.16
  4. Step 4: Simplify right side
    2,823.17x = 7,731,066.66
  5. Step 5: Solve for x
    x = 7,731,066.66/2,823.17
  6. Step 6: Final answer
    x = 2,738.43

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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.