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Finding the Fourth Proportional to 1,636.60, 2,455.60 and 857.19

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Solution

The fourth proportional to 1,636.60, 2,455.60 and 857.19 is: 1,286.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.60 : 2,455.60 = 857.19 : x
  2. Step 2: Convert to fraction form
    1,636.60/2,455.60 = 857.19/x
  3. Step 3: Cross multiply
    1,636.60x = 2,455.60 × 857.19
  4. Step 4: Simplify right side
    1,636.60x = 2,104,903.49
  5. Step 5: Solve for x
    x = 2,104,903.49/1,636.60
  6. Step 6: Final answer
    x = 1,286.14

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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.