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Finding the Fourth Proportional to 1,614.96, 2,230.68 and 1,404.72

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Solution

The fourth proportional to 1,614.96, 2,230.68 and 1,404.72 is: 1,940.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.96 : 2,230.68 = 1,404.72 : x
  2. Step 2: Convert to fraction form
    1,614.96/2,230.68 = 1,404.72/x
  3. Step 3: Cross multiply
    1,614.96x = 2,230.68 × 1,404.72
  4. Step 4: Simplify right side
    1,614.96x = 3,133,480.81
  5. Step 5: Solve for x
    x = 3,133,480.81/1,614.96
  6. Step 6: Final answer
    x = 1,940.28

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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.