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Finding the Fourth Proportional to 3,117.63, 4,676.91 and 926.09

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Solution

The fourth proportional to 3,117.63, 4,676.91 and 926.09 is: 1,389.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.63 : 4,676.91 = 926.09 : x
  2. Step 2: Convert to fraction form
    3,117.63/4,676.91 = 926.09/x
  3. Step 3: Cross multiply
    3,117.63x = 4,676.91 × 926.09
  4. Step 4: Simplify right side
    3,117.63x = 4,331,216.20
  5. Step 5: Solve for x
    x = 4,331,216.20/3,117.63
  6. Step 6: Final answer
    x = 1,389.27

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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.