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Finding the Fourth Proportional to 2,362.96, 3,261.96 and 1,775.44

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Solution

The fourth proportional to 2,362.96, 3,261.96 and 1,775.44 is: 2,450.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.96 : 3,261.96 = 1,775.44 : x
  2. Step 2: Convert to fraction form
    2,362.96/3,261.96 = 1,775.44/x
  3. Step 3: Cross multiply
    2,362.96x = 3,261.96 × 1,775.44
  4. Step 4: Simplify right side
    2,362.96x = 5,791,414.26
  5. Step 5: Solve for x
    x = 5,791,414.26/2,362.96
  6. Step 6: Final answer
    x = 2,450.92

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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.