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Finding the Fourth Proportional to 3,118.02, 4,676.30 and 926.22

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Solution

The fourth proportional to 3,118.02, 4,676.30 and 926.22 is: 1,389.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,118.02 : 4,676.30 = 926.22 : x
  2. Step 2: Convert to fraction form
    3,118.02/4,676.30 = 926.22/x
  3. Step 3: Cross multiply
    3,118.02x = 4,676.30 × 926.22
  4. Step 4: Simplify right side
    3,118.02x = 4,331,282.59
  5. Step 5: Solve for x
    x = 4,331,282.59/3,118.02
  6. Step 6: Final answer
    x = 1,389.11

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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.