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Finding the Fourth Proportional to 2,756.89, 3,804.06 and 1,694.31

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Solution

The fourth proportional to 2,756.89, 3,804.06 and 1,694.31 is: 2,337.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.89 : 3,804.06 = 1,694.31 : x
  2. Step 2: Convert to fraction form
    2,756.89/3,804.06 = 1,694.31/x
  3. Step 3: Cross multiply
    2,756.89x = 3,804.06 × 1,694.31
  4. Step 4: Simplify right side
    2,756.89x = 6,445,256.90
  5. Step 5: Solve for x
    x = 6,445,256.90/2,756.89
  6. Step 6: Final answer
    x = 2,337.87

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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.