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Finding the Fourth Proportional to 1,705.87, 2,558.80 and 1,219.87

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Solution

The fourth proportional to 1,705.87, 2,558.80 and 1,219.87 is: 1,829.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.87 : 2,558.80 = 1,219.87 : x
  2. Step 2: Convert to fraction form
    1,705.87/2,558.80 = 1,219.87/x
  3. Step 3: Cross multiply
    1,705.87x = 2,558.80 × 1,219.87
  4. Step 4: Simplify right side
    1,705.87x = 3,121,390.56
  5. Step 5: Solve for x
    x = 3,121,390.56/1,705.87
  6. Step 6: Final answer
    x = 1,829.80

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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.