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Finding the Fourth Proportional to 3,260.71, 4,890.66 and 1,311.45

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Solution

The fourth proportional to 3,260.71, 4,890.66 and 1,311.45 is: 1,967.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260.71 : 4,890.66 = 1,311.45 : x
  2. Step 2: Convert to fraction form
    3,260.71/4,890.66 = 1,311.45/x
  3. Step 3: Cross multiply
    3,260.71x = 4,890.66 × 1,311.45
  4. Step 4: Simplify right side
    3,260.71x = 6,413,856.06
  5. Step 5: Solve for x
    x = 6,413,856.06/3,260.71
  6. Step 6: Final answer
    x = 1,967.01

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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.