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Finding the Fourth Proportional to 1,680.62, 2,518.88 and 1,268.47

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Solution

The fourth proportional to 1,680.62, 2,518.88 and 1,268.47 is: 1,901.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.62 : 2,518.88 = 1,268.47 : x
  2. Step 2: Convert to fraction form
    1,680.62/2,518.88 = 1,268.47/x
  3. Step 3: Cross multiply
    1,680.62x = 2,518.88 × 1,268.47
  4. Step 4: Simplify right side
    1,680.62x = 3,195,111.07
  5. Step 5: Solve for x
    x = 3,195,111.07/1,680.62
  6. Step 6: Final answer
    x = 1,901.15

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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.