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Finding the Fourth Proportional to 1,697.36, 2,343.74 and 1,382.67

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Solution

The fourth proportional to 1,697.36, 2,343.74 and 1,382.67 is: 1,909.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.36 : 2,343.74 = 1,382.67 : x
  2. Step 2: Convert to fraction form
    1,697.36/2,343.74 = 1,382.67/x
  3. Step 3: Cross multiply
    1,697.36x = 2,343.74 × 1,382.67
  4. Step 4: Simplify right side
    1,697.36x = 3,240,612.07
  5. Step 5: Solve for x
    x = 3,240,612.07/1,697.36
  6. Step 6: Final answer
    x = 1,909.21

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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.