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Finding the Fourth Proportional to 3,097.85, 4,655.27 and 1,638.02

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Solution

The fourth proportional to 3,097.85, 4,655.27 and 1,638.02 is: 2,461.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.85 : 4,655.27 = 1,638.02 : x
  2. Step 2: Convert to fraction form
    3,097.85/4,655.27 = 1,638.02/x
  3. Step 3: Cross multiply
    3,097.85x = 4,655.27 × 1,638.02
  4. Step 4: Simplify right side
    3,097.85x = 7,625,441.10
  5. Step 5: Solve for x
    x = 7,625,441.10/3,097.85
  6. Step 6: Final answer
    x = 2,461.53

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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.