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Finding the Fourth Proportional to 3,117.81, 4,676.10 and 926.04

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Solution

The fourth proportional to 3,117.81, 4,676.10 and 926.04 is: 1,388.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.81 : 4,676.10 = 926.04 : x
  2. Step 2: Convert to fraction form
    3,117.81/4,676.10 = 926.04/x
  3. Step 3: Cross multiply
    3,117.81x = 4,676.10 × 926.04
  4. Step 4: Simplify right side
    3,117.81x = 4,330,255.64
  5. Step 5: Solve for x
    x = 4,330,255.64/3,117.81
  6. Step 6: Final answer
    x = 1,388.88

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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.