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Finding the Fourth Proportional to 3,223.44, 4,448.16 and 1,897.44

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Solution

The fourth proportional to 3,223.44, 4,448.16 and 1,897.44 is: 2,618.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.44 : 4,448.16 = 1,897.44 : x
  2. Step 2: Convert to fraction form
    3,223.44/4,448.16 = 1,897.44/x
  3. Step 3: Cross multiply
    3,223.44x = 4,448.16 × 1,897.44
  4. Step 4: Simplify right side
    3,223.44x = 8,440,116.71
  5. Step 5: Solve for x
    x = 8,440,116.71/3,223.44
  6. Step 6: Final answer
    x = 2,618.36

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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.