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Finding the Fourth Proportional to 2,213.69, 3,320.48 and 897.08

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Solution

The fourth proportional to 2,213.69, 3,320.48 and 897.08 is: 1,345.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.69 : 3,320.48 = 897.08 : x
  2. Step 2: Convert to fraction form
    2,213.69/3,320.48 = 897.08/x
  3. Step 3: Cross multiply
    2,213.69x = 3,320.48 × 897.08
  4. Step 4: Simplify right side
    2,213.69x = 2,978,721.84
  5. Step 5: Solve for x
    x = 2,978,721.84/2,213.69
  6. Step 6: Final answer
    x = 1,345.59

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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.