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Finding the Fourth Proportional to 2,101.84, 2,897.37 and 1,728.17

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Solution

The fourth proportional to 2,101.84, 2,897.37 and 1,728.17 is: 2,382.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.84 : 2,897.37 = 1,728.17 : x
  2. Step 2: Convert to fraction form
    2,101.84/2,897.37 = 1,728.17/x
  3. Step 3: Cross multiply
    2,101.84x = 2,897.37 × 1,728.17
  4. Step 4: Simplify right side
    2,101.84x = 5,007,139.43
  5. Step 5: Solve for x
    x = 5,007,139.43/2,101.84
  6. Step 6: Final answer
    x = 2,382.27

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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.