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Finding the Fourth Proportional to 1,638.23, 2,457.79 and 944.76

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Solution

The fourth proportional to 1,638.23, 2,457.79 and 944.76 is: 1,417.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.23 : 2,457.79 = 944.76 : x
  2. Step 2: Convert to fraction form
    1,638.23/2,457.79 = 944.76/x
  3. Step 3: Cross multiply
    1,638.23x = 2,457.79 × 944.76
  4. Step 4: Simplify right side
    1,638.23x = 2,322,033.85
  5. Step 5: Solve for x
    x = 2,322,033.85/1,638.23
  6. Step 6: Final answer
    x = 1,417.41

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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.