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Finding the Fourth Proportional to 1,847.40, 2,764.54 and 1,484.52

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Solution

The fourth proportional to 1,847.40, 2,764.54 and 1,484.52 is: 2,221.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.40 : 2,764.54 = 1,484.52 : x
  2. Step 2: Convert to fraction form
    1,847.40/2,764.54 = 1,484.52/x
  3. Step 3: Cross multiply
    1,847.40x = 2,764.54 × 1,484.52
  4. Step 4: Simplify right side
    1,847.40x = 4,104,014.92
  5. Step 5: Solve for x
    x = 4,104,014.92/1,847.40
  6. Step 6: Final answer
    x = 2,221.51

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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.