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Finding the Fourth Proportional to 1,439.94, 2,155.74 and 890.46

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Solution

The fourth proportional to 1,439.94, 2,155.74 and 890.46 is: 1,333.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.94 : 2,155.74 = 890.46 : x
  2. Step 2: Convert to fraction form
    1,439.94/2,155.74 = 890.46/x
  3. Step 3: Cross multiply
    1,439.94x = 2,155.74 × 890.46
  4. Step 4: Simplify right side
    1,439.94x = 1,919,600.24
  5. Step 5: Solve for x
    x = 1,919,600.24/1,439.94
  6. Step 6: Final answer
    x = 1,333.11

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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.