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Finding the Fourth Proportional to 1,614.01, 2,419.62 and 723.86

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Solution

The fourth proportional to 1,614.01, 2,419.62 and 723.86 is: 1,085.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.01 : 2,419.62 = 723.86 : x
  2. Step 2: Convert to fraction form
    1,614.01/2,419.62 = 723.86/x
  3. Step 3: Cross multiply
    1,614.01x = 2,419.62 × 723.86
  4. Step 4: Simplify right side
    1,614.01x = 1,751,466.13
  5. Step 5: Solve for x
    x = 1,751,466.13/1,614.01
  6. Step 6: Final answer
    x = 1,085.17

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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.