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Finding the Fourth Proportional to 2,262.92, 3,394.37 and 619.47

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Solution

The fourth proportional to 2,262.92, 3,394.37 and 619.47 is: 929.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.92 : 3,394.37 = 619.47 : x
  2. Step 2: Convert to fraction form
    2,262.92/3,394.37 = 619.47/x
  3. Step 3: Cross multiply
    2,262.92x = 3,394.37 × 619.47
  4. Step 4: Simplify right side
    2,262.92x = 2,102,720.02
  5. Step 5: Solve for x
    x = 2,102,720.02/2,262.92
  6. Step 6: Final answer
    x = 929.21

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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.