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Finding the Fourth Proportional to 2,967.63, 4,098.69 and 2,021.78

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Solution

The fourth proportional to 2,967.63, 4,098.69 and 2,021.78 is: 2,792.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.63 : 4,098.69 = 2,021.78 : x
  2. Step 2: Convert to fraction form
    2,967.63/4,098.69 = 2,021.78/x
  3. Step 3: Cross multiply
    2,967.63x = 4,098.69 × 2,021.78
  4. Step 4: Simplify right side
    2,967.63x = 8,286,642.35
  5. Step 5: Solve for x
    x = 8,286,642.35/2,967.63
  6. Step 6: Final answer
    x = 2,792.34

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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.