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Finding the Fourth Proportional to 2,438.82, 3,657.97 and 795.23

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Solution

The fourth proportional to 2,438.82, 3,657.97 and 795.23 is: 1,192.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.82 : 3,657.97 = 795.23 : x
  2. Step 2: Convert to fraction form
    2,438.82/3,657.97 = 795.23/x
  3. Step 3: Cross multiply
    2,438.82x = 3,657.97 × 795.23
  4. Step 4: Simplify right side
    2,438.82x = 2,908,927.48
  5. Step 5: Solve for x
    x = 2,908,927.48/2,438.82
  6. Step 6: Final answer
    x = 1,192.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.