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Finding the Fourth Proportional to 1,550.79, 2,321.32 and 882.81

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Solution

The fourth proportional to 1,550.79, 2,321.32 and 882.81 is: 1,321.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.79 : 2,321.32 = 882.81 : x
  2. Step 2: Convert to fraction form
    1,550.79/2,321.32 = 882.81/x
  3. Step 3: Cross multiply
    1,550.79x = 2,321.32 × 882.81
  4. Step 4: Simplify right side
    1,550.79x = 2,049,284.51
  5. Step 5: Solve for x
    x = 2,049,284.51/1,550.79
  6. Step 6: Final answer
    x = 1,321.45

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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.