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Finding the Fourth Proportional to 2,478.47, 3,712.64 and 1,383.41

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Solution

The fourth proportional to 2,478.47, 3,712.64 and 1,383.41 is: 2,072.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.47 : 3,712.64 = 1,383.41 : x
  2. Step 2: Convert to fraction form
    2,478.47/3,712.64 = 1,383.41/x
  3. Step 3: Cross multiply
    2,478.47x = 3,712.64 × 1,383.41
  4. Step 4: Simplify right side
    2,478.47x = 5,136,105.67
  5. Step 5: Solve for x
    x = 5,136,105.67/2,478.47
  6. Step 6: Final answer
    x = 2,072.29

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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.