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Finding the Fourth Proportional to 1,680.47, 2,315.27 and 1,260.17

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Solution

The fourth proportional to 1,680.47, 2,315.27 and 1,260.17 is: 1,736.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.47 : 2,315.27 = 1,260.17 : x
  2. Step 2: Convert to fraction form
    1,680.47/2,315.27 = 1,260.17/x
  3. Step 3: Cross multiply
    1,680.47x = 2,315.27 × 1,260.17
  4. Step 4: Simplify right side
    1,680.47x = 2,917,615.92
  5. Step 5: Solve for x
    x = 2,917,615.92/1,680.47
  6. Step 6: Final answer
    x = 1,736.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.