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Finding the Fourth Proportional to 2,263.62, 3,122.53 and 1,424.01

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Solution

The fourth proportional to 2,263.62, 3,122.53 and 1,424.01 is: 1,964.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.62 : 3,122.53 = 1,424.01 : x
  2. Step 2: Convert to fraction form
    2,263.62/3,122.53 = 1,424.01/x
  3. Step 3: Cross multiply
    2,263.62x = 3,122.53 × 1,424.01
  4. Step 4: Simplify right side
    2,263.62x = 4,446,513.95
  5. Step 5: Solve for x
    x = 4,446,513.95/2,263.62
  6. Step 6: Final answer
    x = 1,964.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.