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Finding the Fourth Proportional to 1,923.06, 2,882.19 and 882.81

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Solution

The fourth proportional to 1,923.06, 2,882.19 and 882.81 is: 1,323.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.06 : 2,882.19 = 882.81 : x
  2. Step 2: Convert to fraction form
    1,923.06/2,882.19 = 882.81/x
  3. Step 3: Cross multiply
    1,923.06x = 2,882.19 × 882.81
  4. Step 4: Simplify right side
    1,923.06x = 2,544,426.15
  5. Step 5: Solve for x
    x = 2,544,426.15/1,923.06
  6. Step 6: Final answer
    x = 1,323.11

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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.