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Finding the Fourth Proportional to 1,638.81, 2,458.31 and 468.90

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Solution

The fourth proportional to 1,638.81, 2,458.31 and 468.90 is: 703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.81 : 2,458.31 = 468.90 : x
  2. Step 2: Convert to fraction form
    1,638.81/2,458.31 = 468.90/x
  3. Step 3: Cross multiply
    1,638.81x = 2,458.31 × 468.90
  4. Step 4: Simplify right side
    1,638.81x = 1,152,699.21
  5. Step 5: Solve for x
    x = 1,152,699.21/1,638.81
  6. Step 6: Final answer
    x = 703.38

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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.