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Finding the Fourth Proportional to 2,609.04, 3,911.11 and 876.45

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Solution

The fourth proportional to 2,609.04, 3,911.11 and 876.45 is: 1,313.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.04 : 3,911.11 = 876.45 : x
  2. Step 2: Convert to fraction form
    2,609.04/3,911.11 = 876.45/x
  3. Step 3: Cross multiply
    2,609.04x = 3,911.11 × 876.45
  4. Step 4: Simplify right side
    2,609.04x = 3,427,892.36
  5. Step 5: Solve for x
    x = 3,427,892.36/2,609.04
  6. Step 6: Final answer
    x = 1,313.85

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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.