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Finding the Fourth Proportional to 2,404.36, 3,318 and 1,356.41

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Solution

The fourth proportional to 2,404.36, 3,318 and 1,356.41 is: 1,871.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.36 : 3,318 = 1,356.41 : x
  2. Step 2: Convert to fraction form
    2,404.36/3,318 = 1,356.41/x
  3. Step 3: Cross multiply
    2,404.36x = 3,318 × 1,356.41
  4. Step 4: Simplify right side
    2,404.36x = 4,500,568.38
  5. Step 5: Solve for x
    x = 4,500,568.38/2,404.36
  6. Step 6: Final answer
    x = 1,871.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.