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Finding the Fourth Proportional to 2,452.71, 3,384.78 and 1,333.67

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Solution

The fourth proportional to 2,452.71, 3,384.78 and 1,333.67 is: 1,840.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.71 : 3,384.78 = 1,333.67 : x
  2. Step 2: Convert to fraction form
    2,452.71/3,384.78 = 1,333.67/x
  3. Step 3: Cross multiply
    2,452.71x = 3,384.78 × 1,333.67
  4. Step 4: Simplify right side
    2,452.71x = 4,514,179.54
  5. Step 5: Solve for x
    x = 4,514,179.54/2,452.71
  6. Step 6: Final answer
    x = 1,840.49

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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.