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Finding the Fourth Proportional to 3,080.40, 4,615.76 and 2,347.76

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Solution

The fourth proportional to 3,080.40, 4,615.76 and 2,347.76 is: 3,517.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,080.40 : 4,615.76 = 2,347.76 : x
  2. Step 2: Convert to fraction form
    3,080.40/4,615.76 = 2,347.76/x
  3. Step 3: Cross multiply
    3,080.40x = 4,615.76 × 2,347.76
  4. Step 4: Simplify right side
    3,080.40x = 10,836,696.70
  5. Step 5: Solve for x
    x = 10,836,696.70/3,080.40
  6. Step 6: Final answer
    x = 3,517.95

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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.