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Finding the Fourth Proportional to 1,680.09, 2,518.08 and 857.91

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Solution

The fourth proportional to 1,680.09, 2,518.08 and 857.91 is: 1,285.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.09 : 2,518.08 = 857.91 : x
  2. Step 2: Convert to fraction form
    1,680.09/2,518.08 = 857.91/x
  3. Step 3: Cross multiply
    1,680.09x = 2,518.08 × 857.91
  4. Step 4: Simplify right side
    1,680.09x = 2,160,286.01
  5. Step 5: Solve for x
    x = 2,160,286.01/1,680.09
  6. Step 6: Final answer
    x = 1,285.82

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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.