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Finding the Fourth Proportional to 1,455.70, 2,180.44 and 905.18

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Solution

The fourth proportional to 1,455.70, 2,180.44 and 905.18 is: 1,355.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.70 : 2,180.44 = 905.18 : x
  2. Step 2: Convert to fraction form
    1,455.70/2,180.44 = 905.18/x
  3. Step 3: Cross multiply
    1,455.70x = 2,180.44 × 905.18
  4. Step 4: Simplify right side
    1,455.70x = 1,973,683.45
  5. Step 5: Solve for x
    x = 1,973,683.45/1,455.70
  6. Step 6: Final answer
    x = 1,355.83

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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.