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Finding the Fourth Proportional to 1,425.40, 2,138.30 and 694.38

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Solution

The fourth proportional to 1,425.40, 2,138.30 and 694.38 is: 1,041.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.40 : 2,138.30 = 694.38 : x
  2. Step 2: Convert to fraction form
    1,425.40/2,138.30 = 694.38/x
  3. Step 3: Cross multiply
    1,425.40x = 2,138.30 × 694.38
  4. Step 4: Simplify right side
    1,425.40x = 1,484,792.75
  5. Step 5: Solve for x
    x = 1,484,792.75/1,425.40
  6. Step 6: Final answer
    x = 1,041.67

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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.