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Finding the Fourth Proportional to 2,607.33, 3,910.62 and 852.51

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Solution

The fourth proportional to 2,607.33, 3,910.62 and 852.51 is: 1,278.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.33 : 3,910.62 = 852.51 : x
  2. Step 2: Convert to fraction form
    2,607.33/3,910.62 = 852.51/x
  3. Step 3: Cross multiply
    2,607.33x = 3,910.62 × 852.51
  4. Step 4: Simplify right side
    2,607.33x = 3,333,842.66
  5. Step 5: Solve for x
    x = 3,333,842.66/2,607.33
  6. Step 6: Final answer
    x = 1,278.64

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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.