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Finding the Fourth Proportional to 2,569.84, 3,546.84 and 2,016.88

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Solution

The fourth proportional to 2,569.84, 3,546.84 and 2,016.88 is: 2,783.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.84 : 3,546.84 = 2,016.88 : x
  2. Step 2: Convert to fraction form
    2,569.84/3,546.84 = 2,016.88/x
  3. Step 3: Cross multiply
    2,569.84x = 3,546.84 × 2,016.88
  4. Step 4: Simplify right side
    2,569.84x = 7,153,550.66
  5. Step 5: Solve for x
    x = 7,153,550.66/2,569.84
  6. Step 6: Final answer
    x = 2,783.66

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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.