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Finding the Fourth Proportional to 3,256.92, 4,885.85 and 1,309.01

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Solution

The fourth proportional to 3,256.92, 4,885.85 and 1,309.01 is: 1,963.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.92 : 4,885.85 = 1,309.01 : x
  2. Step 2: Convert to fraction form
    3,256.92/4,885.85 = 1,309.01/x
  3. Step 3: Cross multiply
    3,256.92x = 4,885.85 × 1,309.01
  4. Step 4: Simplify right side
    3,256.92x = 6,395,605.35
  5. Step 5: Solve for x
    x = 6,395,605.35/3,256.92
  6. Step 6: Final answer
    x = 1,963.70

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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.