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Finding the Fourth Proportional to 1,705.37, 2,558.05 and 1,219.37

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Solution

The fourth proportional to 1,705.37, 2,558.05 and 1,219.37 is: 1,829.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.37 : 2,558.05 = 1,219.37 : x
  2. Step 2: Convert to fraction form
    1,705.37/2,558.05 = 1,219.37/x
  3. Step 3: Cross multiply
    1,705.37x = 2,558.05 × 1,219.37
  4. Step 4: Simplify right side
    1,705.37x = 3,119,193.59
  5. Step 5: Solve for x
    x = 3,119,193.59/1,705.37
  6. Step 6: Final answer
    x = 1,829.05

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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.