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Finding the Fourth Proportional to 3,098.08, 4,646.19 and 1,636.44

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Solution

The fourth proportional to 3,098.08, 4,646.19 and 1,636.44 is: 2,454.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.08 : 4,646.19 = 1,636.44 : x
  2. Step 2: Convert to fraction form
    3,098.08/4,646.19 = 1,636.44/x
  3. Step 3: Cross multiply
    3,098.08x = 4,646.19 × 1,636.44
  4. Step 4: Simplify right side
    3,098.08x = 7,603,199.88
  5. Step 5: Solve for x
    x = 7,603,199.88/3,098.08
  6. Step 6: Final answer
    x = 2,454.16

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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.