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Finding the Fourth Proportional to 2,486.46, 3,728.48 and 926.00

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Solution

The fourth proportional to 2,486.46, 3,728.48 and 926.00 is: 1,388.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.46 : 3,728.48 = 926.00 : x
  2. Step 2: Convert to fraction form
    2,486.46/3,728.48 = 926.00/x
  3. Step 3: Cross multiply
    2,486.46x = 3,728.48 × 926.00
  4. Step 4: Simplify right side
    2,486.46x = 3,452,549.21
  5. Step 5: Solve for x
    x = 3,452,549.21/2,486.46
  6. Step 6: Final answer
    x = 1,388.54

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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.