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Finding the Fourth Proportional to 1,963.97, 2,946.07 and 503.09

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Solution

The fourth proportional to 1,963.97, 2,946.07 and 503.09 is: 754.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.97 : 2,946.07 = 503.09 : x
  2. Step 2: Convert to fraction form
    1,963.97/2,946.07 = 503.09/x
  3. Step 3: Cross multiply
    1,963.97x = 2,946.07 × 503.09
  4. Step 4: Simplify right side
    1,963.97x = 1,482,127.02
  5. Step 5: Solve for x
    x = 1,482,127.02/1,963.97
  6. Step 6: Final answer
    x = 754.66

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1.5x scale

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.