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Finding the Fourth Proportional to 3,277.14, 4,497.02 and 2,980.14

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Solution

The fourth proportional to 3,277.14, 4,497.02 and 2,980.14 is: 4,089.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.14 : 4,497.02 = 2,980.14 : x
  2. Step 2: Convert to fraction form
    3,277.14/4,497.02 = 2,980.14/x
  3. Step 3: Cross multiply
    3,277.14x = 4,497.02 × 2,980.14
  4. Step 4: Simplify right side
    3,277.14x = 13,401,734.28
  5. Step 5: Solve for x
    x = 13,401,734.28/3,277.14
  6. Step 6: Final answer
    x = 4,089.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.