Home / 1,680.24-2,517.16-947.60

Finding the Fourth Proportional to 1,680.24, 2,517.16 and 947.60

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Solution

The fourth proportional to 1,680.24, 2,517.16 and 947.60 is: 1,419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.24 : 2,517.16 = 947.60 : x
  2. Step 2: Convert to fraction form
    1,680.24/2,517.16 = 947.60/x
  3. Step 3: Cross multiply
    1,680.24x = 2,517.16 × 947.60
  4. Step 4: Simplify right side
    1,680.24x = 2,385,260.82
  5. Step 5: Solve for x
    x = 2,385,260.82/1,680.24
  6. Step 6: Final answer
    x = 1,419.60

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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.