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Finding the Fourth Proportional to 2,106.03, 2,906.79 and 1,407

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Solution

The fourth proportional to 2,106.03, 2,906.79 and 1,407 is: 1,941.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.03 : 2,906.79 = 1,407 : x
  2. Step 2: Convert to fraction form
    2,106.03/2,906.79 = 1,407/x
  3. Step 3: Cross multiply
    2,106.03x = 2,906.79 × 1,407
  4. Step 4: Simplify right side
    2,106.03x = 4,089,853.53
  5. Step 5: Solve for x
    x = 4,089,853.53/2,106.03
  6. Step 6: Final answer
    x = 1,941.97

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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.