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Finding the Fourth Proportional to 2,484.54, 3,428.15 and 1,600.20

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Solution

The fourth proportional to 2,484.54, 3,428.15 and 1,600.20 is: 2,207.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.54 : 3,428.15 = 1,600.20 : x
  2. Step 2: Convert to fraction form
    2,484.54/3,428.15 = 1,600.20/x
  3. Step 3: Cross multiply
    2,484.54x = 3,428.15 × 1,600.20
  4. Step 4: Simplify right side
    2,484.54x = 5,485,717.63
  5. Step 5: Solve for x
    x = 5,485,717.63/2,484.54
  6. Step 6: Final answer
    x = 2,207.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.