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Finding the Fourth Proportional to 1,678.72, 2,318.85 and 1,399.87

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Solution

The fourth proportional to 1,678.72, 2,318.85 and 1,399.87 is: 1,933.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.72 : 2,318.85 = 1,399.87 : x
  2. Step 2: Convert to fraction form
    1,678.72/2,318.85 = 1,399.87/x
  3. Step 3: Cross multiply
    1,678.72x = 2,318.85 × 1,399.87
  4. Step 4: Simplify right side
    1,678.72x = 3,246,088.55
  5. Step 5: Solve for x
    x = 3,246,088.55/1,678.72
  6. Step 6: Final answer
    x = 1,933.67

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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.