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Finding the Fourth Proportional to 3,315.60, 4,969.76 and 1,366.74

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Solution

The fourth proportional to 3,315.60, 4,969.76 and 1,366.74 is: 2,048.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.60 : 4,969.76 = 1,366.74 : x
  2. Step 2: Convert to fraction form
    3,315.60/4,969.76 = 1,366.74/x
  3. Step 3: Cross multiply
    3,315.60x = 4,969.76 × 1,366.74
  4. Step 4: Simplify right side
    3,315.60x = 6,792,362.95
  5. Step 5: Solve for x
    x = 6,792,362.95/3,315.60
  6. Step 6: Final answer
    x = 2,048.61

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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.