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Finding the Fourth Proportional to 2,146.06, 3,219.74 and 897.26

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Solution

The fourth proportional to 2,146.06, 3,219.74 and 897.26 is: 1,346.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.06 : 3,219.74 = 897.26 : x
  2. Step 2: Convert to fraction form
    2,146.06/3,219.74 = 897.26/x
  3. Step 3: Cross multiply
    2,146.06x = 3,219.74 × 897.26
  4. Step 4: Simplify right side
    2,146.06x = 2,888,943.91
  5. Step 5: Solve for x
    x = 2,888,943.91/2,146.06
  6. Step 6: Final answer
    x = 1,346.16

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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.