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Finding the Fourth Proportional to 3,225.47, 4,451.22 and 1,828.22

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Solution

The fourth proportional to 3,225.47, 4,451.22 and 1,828.22 is: 2,522.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.47 : 4,451.22 = 1,828.22 : x
  2. Step 2: Convert to fraction form
    3,225.47/4,451.22 = 1,828.22/x
  3. Step 3: Cross multiply
    3,225.47x = 4,451.22 × 1,828.22
  4. Step 4: Simplify right side
    3,225.47x = 8,137,787.17
  5. Step 5: Solve for x
    x = 8,137,787.17/3,225.47
  6. Step 6: Final answer
    x = 2,522.98

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1.5x scale

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.