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Finding the Fourth Proportional to 3,249.40, 4,876.64 and 1,302.88

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Solution

The fourth proportional to 3,249.40, 4,876.64 and 1,302.88 is: 1,955.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.40 : 4,876.64 = 1,302.88 : x
  2. Step 2: Convert to fraction form
    3,249.40/4,876.64 = 1,302.88/x
  3. Step 3: Cross multiply
    3,249.40x = 4,876.64 × 1,302.88
  4. Step 4: Simplify right side
    3,249.40x = 6,353,676.72
  5. Step 5: Solve for x
    x = 6,353,676.72/3,249.40
  6. Step 6: Final answer
    x = 1,955.34

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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.