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Finding the Fourth Proportional to 2,721.78, 3,756.60 and 1,728.24

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Solution

The fourth proportional to 2,721.78, 3,756.60 and 1,728.24 is: 2,385.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.78 : 3,756.60 = 1,728.24 : x
  2. Step 2: Convert to fraction form
    2,721.78/3,756.60 = 1,728.24/x
  3. Step 3: Cross multiply
    2,721.78x = 3,756.60 × 1,728.24
  4. Step 4: Simplify right side
    2,721.78x = 6,492,306.38
  5. Step 5: Solve for x
    x = 6,492,306.38/2,721.78
  6. Step 6: Final answer
    x = 2,385.32

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1.5x scale

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.