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Finding the Fourth Proportional to 1,638.96, 2,458.44 and 945.19

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Solution

The fourth proportional to 1,638.96, 2,458.44 and 945.19 is: 1,417.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.96 : 2,458.44 = 945.19 : x
  2. Step 2: Convert to fraction form
    1,638.96/2,458.44 = 945.19/x
  3. Step 3: Cross multiply
    1,638.96x = 2,458.44 × 945.19
  4. Step 4: Simplify right side
    1,638.96x = 2,323,692.90
  5. Step 5: Solve for x
    x = 2,323,692.90/1,638.96
  6. Step 6: Final answer
    x = 1,417.79

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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.