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Finding the Fourth Proportional to 2,607.75, 3,911.69 and 876.38

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Solution

The fourth proportional to 2,607.75, 3,911.69 and 876.38 is: 1,314.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.75 : 3,911.69 = 876.38 : x
  2. Step 2: Convert to fraction form
    2,607.75/3,911.69 = 876.38/x
  3. Step 3: Cross multiply
    2,607.75x = 3,911.69 × 876.38
  4. Step 4: Simplify right side
    2,607.75x = 3,428,109.51
  5. Step 5: Solve for x
    x = 3,428,109.51/2,607.75
  6. Step 6: Final answer
    x = 1,314.59

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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.