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Finding the Fourth Proportional to 2,328.66, 3,213.36 and 1,444.14

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Solution

The fourth proportional to 2,328.66, 3,213.36 and 1,444.14 is: 1,992.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.66 : 3,213.36 = 1,444.14 : x
  2. Step 2: Convert to fraction form
    2,328.66/3,213.36 = 1,444.14/x
  3. Step 3: Cross multiply
    2,328.66x = 3,213.36 × 1,444.14
  4. Step 4: Simplify right side
    2,328.66x = 4,640,541.71
  5. Step 5: Solve for x
    x = 4,640,541.71/2,328.66
  6. Step 6: Final answer
    x = 1,992.79

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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.