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Finding the Fourth Proportional to 2,141.68, 2,955.36 and 1,444

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Solution

The fourth proportional to 2,141.68, 2,955.36 and 1,444 is: 1,992.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.68 : 2,955.36 = 1,444 : x
  2. Step 2: Convert to fraction form
    2,141.68/2,955.36 = 1,444/x
  3. Step 3: Cross multiply
    2,141.68x = 2,955.36 × 1,444
  4. Step 4: Simplify right side
    2,141.68x = 4,267,539.84
  5. Step 5: Solve for x
    x = 4,267,539.84/2,141.68
  6. Step 6: Final answer
    x = 1,992.61

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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.