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Finding the Fourth Proportional to 2,892.70, 4,343.10 and 2,277.10

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Solution

The fourth proportional to 2,892.70, 4,343.10 and 2,277.10 is: 3,418.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.70 : 4,343.10 = 2,277.10 : x
  2. Step 2: Convert to fraction form
    2,892.70/4,343.10 = 2,277.10/x
  3. Step 3: Cross multiply
    2,892.70x = 4,343.10 × 2,277.10
  4. Step 4: Simplify right side
    2,892.70x = 9,889,673.01
  5. Step 5: Solve for x
    x = 9,889,673.01/2,892.70
  6. Step 6: Final answer
    x = 3,418.84

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1.5x scale

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.