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Finding the Fourth Proportional to 2,383.72, 3,573.45 and 1,213.07

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Solution

The fourth proportional to 2,383.72, 3,573.45 and 1,213.07 is: 1,818.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.72 : 3,573.45 = 1,213.07 : x
  2. Step 2: Convert to fraction form
    2,383.72/3,573.45 = 1,213.07/x
  3. Step 3: Cross multiply
    2,383.72x = 3,573.45 × 1,213.07
  4. Step 4: Simplify right side
    2,383.72x = 4,334,827.12
  5. Step 5: Solve for x
    x = 4,334,827.12/2,383.72
  6. Step 6: Final answer
    x = 1,818.52

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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.