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Finding the Fourth Proportional to 2,586.53, 3,879.80 and 1,546.84

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Solution

The fourth proportional to 2,586.53, 3,879.80 and 1,546.84 is: 2,320.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.53 : 3,879.80 = 1,546.84 : x
  2. Step 2: Convert to fraction form
    2,586.53/3,879.80 = 1,546.84/x
  3. Step 3: Cross multiply
    2,586.53x = 3,879.80 × 1,546.84
  4. Step 4: Simplify right side
    2,586.53x = 6,001,421.84
  5. Step 5: Solve for x
    x = 6,001,421.84/2,586.53
  6. Step 6: Final answer
    x = 2,320.26

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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.