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Finding the Fourth Proportional to 2,452.01, 3,678.40 and 892.41

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Solution

The fourth proportional to 2,452.01, 3,678.40 and 892.41 is: 1,338.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.01 : 3,678.40 = 892.41 : x
  2. Step 2: Convert to fraction form
    2,452.01/3,678.40 = 892.41/x
  3. Step 3: Cross multiply
    2,452.01x = 3,678.40 × 892.41
  4. Step 4: Simplify right side
    2,452.01x = 3,282,638.71
  5. Step 5: Solve for x
    x = 3,282,638.71/2,452.01
  6. Step 6: Final answer
    x = 1,338.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.