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Finding the Fourth Proportional to 1,427.59, 2,141.70 and 440.41

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Solution

The fourth proportional to 1,427.59, 2,141.70 and 440.41 is: 660.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.59 : 2,141.70 = 440.41 : x
  2. Step 2: Convert to fraction form
    1,427.59/2,141.70 = 440.41/x
  3. Step 3: Cross multiply
    1,427.59x = 2,141.70 × 440.41
  4. Step 4: Simplify right side
    1,427.59x = 943,226.10
  5. Step 5: Solve for x
    x = 943,226.10/1,427.59
  6. Step 6: Final answer
    x = 660.71

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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.