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Finding the Fourth Proportional to 3,313.46, 4,970.80 and 1,364.60

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Solution

The fourth proportional to 3,313.46, 4,970.80 and 1,364.60 is: 2,047.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.46 : 4,970.80 = 1,364.60 : x
  2. Step 2: Convert to fraction form
    3,313.46/4,970.80 = 1,364.60/x
  3. Step 3: Cross multiply
    3,313.46x = 4,970.80 × 1,364.60
  4. Step 4: Simplify right side
    3,313.46x = 6,783,153.68
  5. Step 5: Solve for x
    x = 6,783,153.68/3,313.46
  6. Step 6: Final answer
    x = 2,047.15

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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.