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Finding the Fourth Proportional to 1,686.82, 2,528.36 and 1,137.64

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Solution

The fourth proportional to 1,686.82, 2,528.36 and 1,137.64 is: 1,705.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.82 : 2,528.36 = 1,137.64 : x
  2. Step 2: Convert to fraction form
    1,686.82/2,528.36 = 1,137.64/x
  3. Step 3: Cross multiply
    1,686.82x = 2,528.36 × 1,137.64
  4. Step 4: Simplify right side
    1,686.82x = 2,876,363.47
  5. Step 5: Solve for x
    x = 2,876,363.47/1,686.82
  6. Step 6: Final answer
    x = 1,705.20

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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.