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Finding the Fourth Proportional to 2,772.44, 3,825.96 and 1,530.44

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Solution

The fourth proportional to 2,772.44, 3,825.96 and 1,530.44 is: 2,112.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.44 : 3,825.96 = 1,530.44 : x
  2. Step 2: Convert to fraction form
    2,772.44/3,825.96 = 1,530.44/x
  3. Step 3: Cross multiply
    2,772.44x = 3,825.96 × 1,530.44
  4. Step 4: Simplify right side
    2,772.44x = 5,855,402.22
  5. Step 5: Solve for x
    x = 5,855,402.22/2,772.44
  6. Step 6: Final answer
    x = 2,112.00

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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.