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Finding the Fourth Proportional to 1,628.26, 2,442.75 and 897.46

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Solution

The fourth proportional to 1,628.26, 2,442.75 and 897.46 is: 1,346.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.26 : 2,442.75 = 897.46 : x
  2. Step 2: Convert to fraction form
    1,628.26/2,442.75 = 897.46/x
  3. Step 3: Cross multiply
    1,628.26x = 2,442.75 × 897.46
  4. Step 4: Simplify right side
    1,628.26x = 2,192,270.42
  5. Step 5: Solve for x
    x = 2,192,270.42/1,628.26
  6. Step 6: Final answer
    x = 1,346.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.