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Finding the Fourth Proportional to 1,889.34, 2,600.82 and 1,639.19

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Solution

The fourth proportional to 1,889.34, 2,600.82 and 1,639.19 is: 2,256.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.34 : 2,600.82 = 1,639.19 : x
  2. Step 2: Convert to fraction form
    1,889.34/2,600.82 = 1,639.19/x
  3. Step 3: Cross multiply
    1,889.34x = 2,600.82 × 1,639.19
  4. Step 4: Simplify right side
    1,889.34x = 4,263,225.13
  5. Step 5: Solve for x
    x = 4,263,225.13/1,889.34
  6. Step 6: Final answer
    x = 2,256.46

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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.