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Finding the Fourth Proportional to 1,546.18, 2,133.69 and 882.99

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Solution

The fourth proportional to 1,546.18, 2,133.69 and 882.99 is: 1,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.18 : 2,133.69 = 882.99 : x
  2. Step 2: Convert to fraction form
    1,546.18/2,133.69 = 882.99/x
  3. Step 3: Cross multiply
    1,546.18x = 2,133.69 × 882.99
  4. Step 4: Simplify right side
    1,546.18x = 1,884,026.93
  5. Step 5: Solve for x
    x = 1,884,026.93/1,546.18
  6. Step 6: Final answer
    x = 1,218.50

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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.