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Finding the Fourth Proportional to 3,142.84, 4,333.74 and 1,963.48

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Solution

The fourth proportional to 3,142.84, 4,333.74 and 1,963.48 is: 2,707.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.84 : 4,333.74 = 1,963.48 : x
  2. Step 2: Convert to fraction form
    3,142.84/4,333.74 = 1,963.48/x
  3. Step 3: Cross multiply
    3,142.84x = 4,333.74 × 1,963.48
  4. Step 4: Simplify right side
    3,142.84x = 8,509,211.82
  5. Step 5: Solve for x
    x = 8,509,211.82/3,142.84
  6. Step 6: Final answer
    x = 2,707.49

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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.