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Finding the Fourth Proportional to 2,533.06, 3,797.47 and 890.69

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Solution

The fourth proportional to 2,533.06, 3,797.47 and 890.69 is: 1,335.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.06 : 3,797.47 = 890.69 : x
  2. Step 2: Convert to fraction form
    2,533.06/3,797.47 = 890.69/x
  3. Step 3: Cross multiply
    2,533.06x = 3,797.47 × 890.69
  4. Step 4: Simplify right side
    2,533.06x = 3,382,345.11
  5. Step 5: Solve for x
    x = 3,382,345.11/2,533.06
  6. Step 6: Final answer
    x = 1,335.28

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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.