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Finding the Fourth Proportional to 1,628.16, 2,442.69 and 654.94

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Solution

The fourth proportional to 1,628.16, 2,442.69 and 654.94 is: 982.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.16 : 2,442.69 = 654.94 : x
  2. Step 2: Convert to fraction form
    1,628.16/2,442.69 = 654.94/x
  3. Step 3: Cross multiply
    1,628.16x = 2,442.69 × 654.94
  4. Step 4: Simplify right side
    1,628.16x = 1,599,815.39
  5. Step 5: Solve for x
    x = 1,599,815.39/1,628.16
  6. Step 6: Final answer
    x = 982.59

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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.