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Finding the Fourth Proportional to 1,627.84, 2,441.74 and 395.25

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Solution

The fourth proportional to 1,627.84, 2,441.74 and 395.25 is: 592.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.84 : 2,441.74 = 395.25 : x
  2. Step 2: Convert to fraction form
    1,627.84/2,441.74 = 395.25/x
  3. Step 3: Cross multiply
    1,627.84x = 2,441.74 × 395.25
  4. Step 4: Simplify right side
    1,627.84x = 965,090.65
  5. Step 5: Solve for x
    x = 965,090.65/1,627.84
  6. Step 6: Final answer
    x = 592.87

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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.