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Finding the Fourth Proportional to 3,187.46, 4,784.07 and 1,339.94

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Solution

The fourth proportional to 3,187.46, 4,784.07 and 1,339.94 is: 2,011.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.46 : 4,784.07 = 1,339.94 : x
  2. Step 2: Convert to fraction form
    3,187.46/4,784.07 = 1,339.94/x
  3. Step 3: Cross multiply
    3,187.46x = 4,784.07 × 1,339.94
  4. Step 4: Simplify right side
    3,187.46x = 6,410,366.76
  5. Step 5: Solve for x
    x = 6,410,366.76/3,187.46
  6. Step 6: Final answer
    x = 2,011.12

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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.