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Finding the Fourth Proportional to 2,316.42, 3,476.03 and 1,221.57

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Solution

The fourth proportional to 2,316.42, 3,476.03 and 1,221.57 is: 1,833.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.42 : 3,476.03 = 1,221.57 : x
  2. Step 2: Convert to fraction form
    2,316.42/3,476.03 = 1,221.57/x
  3. Step 3: Cross multiply
    2,316.42x = 3,476.03 × 1,221.57
  4. Step 4: Simplify right side
    2,316.42x = 4,246,207.86
  5. Step 5: Solve for x
    x = 4,246,207.86/2,316.42
  6. Step 6: Final answer
    x = 1,833.09

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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.