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Finding the Fourth Proportional to 2,411.90, 3,617.60 and 1,636.88

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Solution

The fourth proportional to 2,411.90, 3,617.60 and 1,636.88 is: 2,455.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.90 : 3,617.60 = 1,636.88 : x
  2. Step 2: Convert to fraction form
    2,411.90/3,617.60 = 1,636.88/x
  3. Step 3: Cross multiply
    2,411.90x = 3,617.60 × 1,636.88
  4. Step 4: Simplify right side
    2,411.90x = 5,921,573.59
  5. Step 5: Solve for x
    x = 5,921,573.59/2,411.90
  6. Step 6: Final answer
    x = 2,455.15

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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.