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Finding the Fourth Proportional to 2,556.75, 3,530.01 and 1,674.12

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Solution

The fourth proportional to 2,556.75, 3,530.01 and 1,674.12 is: 2,311.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.75 : 3,530.01 = 1,674.12 : x
  2. Step 2: Convert to fraction form
    2,556.75/3,530.01 = 1,674.12/x
  3. Step 3: Cross multiply
    2,556.75x = 3,530.01 × 1,674.12
  4. Step 4: Simplify right side
    2,556.75x = 5,909,660.34
  5. Step 5: Solve for x
    x = 5,909,660.34/2,556.75
  6. Step 6: Final answer
    x = 2,311.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.