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Finding the Fourth Proportional to 2,775.16, 3,823.22 and 1,934.34

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Solution

The fourth proportional to 2,775.16, 3,823.22 and 1,934.34 is: 2,664.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.16 : 3,823.22 = 1,934.34 : x
  2. Step 2: Convert to fraction form
    2,775.16/3,823.22 = 1,934.34/x
  3. Step 3: Cross multiply
    2,775.16x = 3,823.22 × 1,934.34
  4. Step 4: Simplify right side
    2,775.16x = 7,395,407.37
  5. Step 5: Solve for x
    x = 7,395,407.37/2,775.16
  6. Step 6: Final answer
    x = 2,664.86

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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.