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Finding the Fourth Proportional to 3,117.38, 4,676.10 and 896.28

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Solution

The fourth proportional to 3,117.38, 4,676.10 and 896.28 is: 1,344.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.38 : 4,676.10 = 896.28 : x
  2. Step 2: Convert to fraction form
    3,117.38/4,676.10 = 896.28/x
  3. Step 3: Cross multiply
    3,117.38x = 4,676.10 × 896.28
  4. Step 4: Simplify right side
    3,117.38x = 4,191,074.01
  5. Step 5: Solve for x
    x = 4,191,074.01/3,117.38
  6. Step 6: Final answer
    x = 1,344.42

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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.