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Finding the Fourth Proportional to 2,732.88, 4,098.48 and 1,638.72

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Solution

The fourth proportional to 2,732.88, 4,098.48 and 1,638.72 is: 2,457.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.88 : 4,098.48 = 1,638.72 : x
  2. Step 2: Convert to fraction form
    2,732.88/4,098.48 = 1,638.72/x
  3. Step 3: Cross multiply
    2,732.88x = 4,098.48 × 1,638.72
  4. Step 4: Simplify right side
    2,732.88x = 6,716,261.15
  5. Step 5: Solve for x
    x = 6,716,261.15/2,732.88
  6. Step 6: Final answer
    x = 2,457.58

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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.