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Finding the Fourth Proportional to 1,419, 2,126.91 and 723.72

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Solution

The fourth proportional to 1,419, 2,126.91 and 723.72 is: 1,084.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419 : 2,126.91 = 723.72 : x
  2. Step 2: Convert to fraction form
    1,419/2,126.91 = 723.72/x
  3. Step 3: Cross multiply
    1,419x = 2,126.91 × 723.72
  4. Step 4: Simplify right side
    1,419x = 1,539,287.31
  5. Step 5: Solve for x
    x = 1,539,287.31/1,419
  6. Step 6: Final answer
    x = 1,084.77

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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.