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Finding the Fourth Proportional to 2,103.88, 2,904.42 and 1,441

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Solution

The fourth proportional to 2,103.88, 2,904.42 and 1,441 is: 1,989.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.88 : 2,904.42 = 1,441 : x
  2. Step 2: Convert to fraction form
    2,103.88/2,904.42 = 1,441/x
  3. Step 3: Cross multiply
    2,103.88x = 2,904.42 × 1,441
  4. Step 4: Simplify right side
    2,103.88x = 4,185,269.22
  5. Step 5: Solve for x
    x = 4,185,269.22/2,103.88
  6. Step 6: Final answer
    x = 1,989.31

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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.