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Finding the Fourth Proportional to 3,264.21, 4,505.00 and 1,828.71

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Solution

The fourth proportional to 3,264.21, 4,505.00 and 1,828.71 is: 2,523.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.21 : 4,505.00 = 1,828.71 : x
  2. Step 2: Convert to fraction form
    3,264.21/4,505.00 = 1,828.71/x
  3. Step 3: Cross multiply
    3,264.21x = 4,505.00 × 1,828.71
  4. Step 4: Simplify right side
    3,264.21x = 8,238,329.41
  5. Step 5: Solve for x
    x = 8,238,329.41/3,264.21
  6. Step 6: Final answer
    x = 2,523.84

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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.