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Finding the Fourth Proportional to 1,899.78, 2,846.91 and 924.78

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Solution

The fourth proportional to 1,899.78, 2,846.91 and 924.78 is: 1,385.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899.78 : 2,846.91 = 924.78 : x
  2. Step 2: Convert to fraction form
    1,899.78/2,846.91 = 924.78/x
  3. Step 3: Cross multiply
    1,899.78x = 2,846.91 × 924.78
  4. Step 4: Simplify right side
    1,899.78x = 2,632,765.43
  5. Step 5: Solve for x
    x = 2,632,765.43/1,899.78
  6. Step 6: Final answer
    x = 1,385.83

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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.