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Finding the Fourth Proportional to 2,649.64, 3,975.84 and 1,556.12

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Solution

The fourth proportional to 2,649.64, 3,975.84 and 1,556.12 is: 2,334.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.64 : 3,975.84 = 1,556.12 : x
  2. Step 2: Convert to fraction form
    2,649.64/3,975.84 = 1,556.12/x
  3. Step 3: Cross multiply
    2,649.64x = 3,975.84 × 1,556.12
  4. Step 4: Simplify right side
    2,649.64x = 6,186,884.14
  5. Step 5: Solve for x
    x = 6,186,884.14/2,649.64
  6. Step 6: Final answer
    x = 2,334.99

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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.