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Finding the Fourth Proportional to 1,546.25, 2,133.47 and 882.89

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Solution

The fourth proportional to 1,546.25, 2,133.47 and 882.89 is: 1,218.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.25 : 2,133.47 = 882.89 : x
  2. Step 2: Convert to fraction form
    1,546.25/2,133.47 = 882.89/x
  3. Step 3: Cross multiply
    1,546.25x = 2,133.47 × 882.89
  4. Step 4: Simplify right side
    1,546.25x = 1,883,610.87
  5. Step 5: Solve for x
    x = 1,883,610.87/1,546.25
  6. Step 6: Final answer
    x = 1,218.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.