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Finding the Fourth Proportional to 1,483.93, 2,221.57 and 1,427.77

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Solution

The fourth proportional to 1,483.93, 2,221.57 and 1,427.77 is: 2,137.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.93 : 2,221.57 = 1,427.77 : x
  2. Step 2: Convert to fraction form
    1,483.93/2,221.57 = 1,427.77/x
  3. Step 3: Cross multiply
    1,483.93x = 2,221.57 × 1,427.77
  4. Step 4: Simplify right side
    1,483.93x = 3,171,891.00
  5. Step 5: Solve for x
    x = 3,171,891.00/1,483.93
  6. Step 6: Final answer
    x = 2,137.49

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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.