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Finding the Fourth Proportional to 2,368.64, 3,556.20 and 1,636.40

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Solution

The fourth proportional to 2,368.64, 3,556.20 and 1,636.40 is: 2,456.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.64 : 3,556.20 = 1,636.40 : x
  2. Step 2: Convert to fraction form
    2,368.64/3,556.20 = 1,636.40/x
  3. Step 3: Cross multiply
    2,368.64x = 3,556.20 × 1,636.40
  4. Step 4: Simplify right side
    2,368.64x = 5,819,365.68
  5. Step 5: Solve for x
    x = 5,819,365.68/2,368.64
  6. Step 6: Final answer
    x = 2,456.84

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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.