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Finding the Fourth Proportional to 1,922.37, 2,882.77 and 752.14

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Solution

The fourth proportional to 1,922.37, 2,882.77 and 752.14 is: 1,127.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.37 : 2,882.77 = 752.14 : x
  2. Step 2: Convert to fraction form
    1,922.37/2,882.77 = 752.14/x
  3. Step 3: Cross multiply
    1,922.37x = 2,882.77 × 752.14
  4. Step 4: Simplify right side
    1,922.37x = 2,168,246.63
  5. Step 5: Solve for x
    x = 2,168,246.63/1,922.37
  6. Step 6: Final answer
    x = 1,127.90

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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.