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Finding the Fourth Proportional to 1,627.70, 2,442.63 and 601.70

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Solution

The fourth proportional to 1,627.70, 2,442.63 and 601.70 is: 902.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.70 : 2,442.63 = 601.70 : x
  2. Step 2: Convert to fraction form
    1,627.70/2,442.63 = 601.70/x
  3. Step 3: Cross multiply
    1,627.70x = 2,442.63 × 601.70
  4. Step 4: Simplify right side
    1,627.70x = 1,469,718.26
  5. Step 5: Solve for x
    x = 1,469,718.26/1,627.70
  6. Step 6: Final answer
    x = 902.94

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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.