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Finding the Fourth Proportional to 4,676.48, 7,014.66 and 1,344.81

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Solution

The fourth proportional to 4,676.48, 7,014.66 and 1,344.81 is: 2,017.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.48 : 7,014.66 = 1,344.81 : x
  2. Step 2: Convert to fraction form
    4,676.48/7,014.66 = 1,344.81/x
  3. Step 3: Cross multiply
    4,676.48x = 7,014.66 × 1,344.81
  4. Step 4: Simplify right side
    4,676.48x = 9,433,366.72
  5. Step 5: Solve for x
    x = 9,433,366.72/4,676.48
  6. Step 6: Final answer
    x = 2,017.19

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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.