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Finding the Fourth Proportional to 2,100.44, 2,899.06 and 1,683.56

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Solution

The fourth proportional to 2,100.44, 2,899.06 and 1,683.56 is: 2,323.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.44 : 2,899.06 = 1,683.56 : x
  2. Step 2: Convert to fraction form
    2,100.44/2,899.06 = 1,683.56/x
  3. Step 3: Cross multiply
    2,100.44x = 2,899.06 × 1,683.56
  4. Step 4: Simplify right side
    2,100.44x = 4,880,741.45
  5. Step 5: Solve for x
    x = 4,880,741.45/2,100.44
  6. Step 6: Final answer
    x = 2,323.68

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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.