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Finding the Fourth Proportional to 2,695.84, 4,043.76 and 1,728.08

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Solution

The fourth proportional to 2,695.84, 4,043.76 and 1,728.08 is: 2,592.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.84 : 4,043.76 = 1,728.08 : x
  2. Step 2: Convert to fraction form
    2,695.84/4,043.76 = 1,728.08/x
  3. Step 3: Cross multiply
    2,695.84x = 4,043.76 × 1,728.08
  4. Step 4: Simplify right side
    2,695.84x = 6,987,940.78
  5. Step 5: Solve for x
    x = 6,987,940.78/2,695.84
  6. Step 6: Final answer
    x = 2,592.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.