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Finding the Fourth Proportional to 1,679.60, 2,518.68 and 857

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Solution

The fourth proportional to 1,679.60, 2,518.68 and 857 is: 1,285.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.60 : 2,518.68 = 857 : x
  2. Step 2: Convert to fraction form
    1,679.60/2,518.68 = 857/x
  3. Step 3: Cross multiply
    1,679.60x = 2,518.68 × 857
  4. Step 4: Simplify right side
    1,679.60x = 2,158,508.76
  5. Step 5: Solve for x
    x = 2,158,508.76/1,679.60
  6. Step 6: Final answer
    x = 1,285.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.