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Finding the Fourth Proportional to 2,922, 4,032.74 and 1,929.35

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Solution

The fourth proportional to 2,922, 4,032.74 and 1,929.35 is: 2,662.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922 : 4,032.74 = 1,929.35 : x
  2. Step 2: Convert to fraction form
    2,922/4,032.74 = 1,929.35/x
  3. Step 3: Cross multiply
    2,922x = 4,032.74 × 1,929.35
  4. Step 4: Simplify right side
    2,922x = 7,780,537.11
  5. Step 5: Solve for x
    x = 7,780,537.11/2,922
  6. Step 6: Final answer
    x = 2,662.74

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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.