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Finding the Fourth Proportional to 2,254.99, 3,390.71 and 2,074.56

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Solution

The fourth proportional to 2,254.99, 3,390.71 and 2,074.56 is: 3,119.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.99 : 3,390.71 = 2,074.56 : x
  2. Step 2: Convert to fraction form
    2,254.99/3,390.71 = 2,074.56/x
  3. Step 3: Cross multiply
    2,254.99x = 3,390.71 × 2,074.56
  4. Step 4: Simplify right side
    2,254.99x = 7,034,204.01
  5. Step 5: Solve for x
    x = 7,034,204.01/2,254.99
  6. Step 6: Final answer
    x = 3,119.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.