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Finding the Fourth Proportional to 1,905.96, 2,859.06 and 751.80

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Solution

The fourth proportional to 1,905.96, 2,859.06 and 751.80 is: 1,127.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.96 : 2,859.06 = 751.80 : x
  2. Step 2: Convert to fraction form
    1,905.96/2,859.06 = 751.80/x
  3. Step 3: Cross multiply
    1,905.96x = 2,859.06 × 751.80
  4. Step 4: Simplify right side
    1,905.96x = 2,149,441.31
  5. Step 5: Solve for x
    x = 2,149,441.31/1,905.96
  6. Step 6: Final answer
    x = 1,127.75

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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.