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Finding the Fourth Proportional to 1,656.87, 2,483.82 and 682.35

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Solution

The fourth proportional to 1,656.87, 2,483.82 and 682.35 is: 1,022.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.87 : 2,483.82 = 682.35 : x
  2. Step 2: Convert to fraction form
    1,656.87/2,483.82 = 682.35/x
  3. Step 3: Cross multiply
    1,656.87x = 2,483.82 × 682.35
  4. Step 4: Simplify right side
    1,656.87x = 1,694,834.58
  5. Step 5: Solve for x
    x = 1,694,834.58/1,656.87
  6. Step 6: Final answer
    x = 1,022.91

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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.