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Finding the Fourth Proportional to 2,697.40, 4,043.01 and 1,135.06

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Solution

The fourth proportional to 2,697.40, 4,043.01 and 1,135.06 is: 1,701.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.40 : 4,043.01 = 1,135.06 : x
  2. Step 2: Convert to fraction form
    2,697.40/4,043.01 = 1,135.06/x
  3. Step 3: Cross multiply
    2,697.40x = 4,043.01 × 1,135.06
  4. Step 4: Simplify right side
    2,697.40x = 4,589,033.04
  5. Step 5: Solve for x
    x = 4,589,033.04/2,697.40
  6. Step 6: Final answer
    x = 1,701.28

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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.