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Finding the Fourth Proportional to 1,694.91, 2,337.69 and 1,459.26

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Solution

The fourth proportional to 1,694.91, 2,337.69 and 1,459.26 is: 2,012.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.91 : 2,337.69 = 1,459.26 : x
  2. Step 2: Convert to fraction form
    1,694.91/2,337.69 = 1,459.26/x
  3. Step 3: Cross multiply
    1,694.91x = 2,337.69 × 1,459.26
  4. Step 4: Simplify right side
    1,694.91x = 3,411,297.51
  5. Step 5: Solve for x
    x = 3,411,297.51/1,694.91
  6. Step 6: Final answer
    x = 2,012.67

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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.