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Finding the Fourth Proportional to 2,316.92, 3,477.26 and 1,221.96

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Solution

The fourth proportional to 2,316.92, 3,477.26 and 1,221.96 is: 1,833.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.92 : 3,477.26 = 1,221.96 : x
  2. Step 2: Convert to fraction form
    2,316.92/3,477.26 = 1,221.96/x
  3. Step 3: Cross multiply
    2,316.92x = 3,477.26 × 1,221.96
  4. Step 4: Simplify right side
    2,316.92x = 4,249,072.63
  5. Step 5: Solve for x
    x = 4,249,072.63/2,316.92
  6. Step 6: Final answer
    x = 1,833.93

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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.