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Finding the Fourth Proportional to 2,263.14, 3,394.86 and 619.65

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Solution

The fourth proportional to 2,263.14, 3,394.86 and 619.65 is: 929.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.14 : 3,394.86 = 619.65 : x
  2. Step 2: Convert to fraction form
    2,263.14/3,394.86 = 619.65/x
  3. Step 3: Cross multiply
    2,263.14x = 3,394.86 × 619.65
  4. Step 4: Simplify right side
    2,263.14x = 2,103,625.00
  5. Step 5: Solve for x
    x = 2,103,625.00/2,263.14
  6. Step 6: Final answer
    x = 929.52

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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.