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Finding the Fourth Proportional to 1,627.32, 2,440.97 and 394.74

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Solution

The fourth proportional to 1,627.32, 2,440.97 and 394.74 is: 592.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.32 : 2,440.97 = 394.74 : x
  2. Step 2: Convert to fraction form
    1,627.32/2,440.97 = 394.74/x
  3. Step 3: Cross multiply
    1,627.32x = 2,440.97 × 394.74
  4. Step 4: Simplify right side
    1,627.32x = 963,548.00
  5. Step 5: Solve for x
    x = 963,548.00/1,627.32
  6. Step 6: Final answer
    x = 592.11

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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.