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Finding the Fourth Proportional to 1,419, 1,958.64 and 1,140.18

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Solution

The fourth proportional to 1,419, 1,958.64 and 1,140.18 is: 1,573.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419 : 1,958.64 = 1,140.18 : x
  2. Step 2: Convert to fraction form
    1,419/1,958.64 = 1,140.18/x
  3. Step 3: Cross multiply
    1,419x = 1,958.64 × 1,140.18
  4. Step 4: Simplify right side
    1,419x = 2,233,202.16
  5. Step 5: Solve for x
    x = 2,233,202.16/1,419
  6. Step 6: Final answer
    x = 1,573.79

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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.