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Finding the Fourth Proportional to 2,316.67, 3,470.89 and 1,221.81

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Solution

The fourth proportional to 2,316.67, 3,470.89 and 1,221.81 is: 1,830.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.67 : 3,470.89 = 1,221.81 : x
  2. Step 2: Convert to fraction form
    2,316.67/3,470.89 = 1,221.81/x
  3. Step 3: Cross multiply
    2,316.67x = 3,470.89 × 1,221.81
  4. Step 4: Simplify right side
    2,316.67x = 4,240,768.11
  5. Step 5: Solve for x
    x = 4,240,768.11/2,316.67
  6. Step 6: Final answer
    x = 1,830.54

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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.