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Finding the Fourth Proportional to 2,592.81, 3,890.23 and 949.52

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Solution

The fourth proportional to 2,592.81, 3,890.23 and 949.52 is: 1,424.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.81 : 3,890.23 = 949.52 : x
  2. Step 2: Convert to fraction form
    2,592.81/3,890.23 = 949.52/x
  3. Step 3: Cross multiply
    2,592.81x = 3,890.23 × 949.52
  4. Step 4: Simplify right side
    2,592.81x = 3,693,851.19
  5. Step 5: Solve for x
    x = 3,693,851.19/2,592.81
  6. Step 6: Final answer
    x = 1,424.65

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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.