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Finding the Fourth Proportional to 1,617.64, 2,434.68 and 1,208.96

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Solution

The fourth proportional to 1,617.64, 2,434.68 and 1,208.96 is: 1,819.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.64 : 2,434.68 = 1,208.96 : x
  2. Step 2: Convert to fraction form
    1,617.64/2,434.68 = 1,208.96/x
  3. Step 3: Cross multiply
    1,617.64x = 2,434.68 × 1,208.96
  4. Step 4: Simplify right side
    1,617.64x = 2,943,430.73
  5. Step 5: Solve for x
    x = 2,943,430.73/1,617.64
  6. Step 6: Final answer
    x = 1,819.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.