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Finding the Fourth Proportional to 2,106.78, 3,160.26 and 626.01

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Solution

The fourth proportional to 2,106.78, 3,160.26 and 626.01 is: 939.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.78 : 3,160.26 = 626.01 : x
  2. Step 2: Convert to fraction form
    2,106.78/3,160.26 = 626.01/x
  3. Step 3: Cross multiply
    2,106.78x = 3,160.26 × 626.01
  4. Step 4: Simplify right side
    2,106.78x = 1,978,354.36
  5. Step 5: Solve for x
    x = 1,978,354.36/2,106.78
  6. Step 6: Final answer
    x = 939.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.