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Finding the Fourth Proportional to 1,478.82, 2,200.74 and 1,429.59

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Solution

The fourth proportional to 1,478.82, 2,200.74 and 1,429.59 is: 2,127.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.82 : 2,200.74 = 1,429.59 : x
  2. Step 2: Convert to fraction form
    1,478.82/2,200.74 = 1,429.59/x
  3. Step 3: Cross multiply
    1,478.82x = 2,200.74 × 1,429.59
  4. Step 4: Simplify right side
    1,478.82x = 3,146,155.90
  5. Step 5: Solve for x
    x = 3,146,155.90/1,478.82
  6. Step 6: Final answer
    x = 2,127.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.