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Finding the Fourth Proportional to 3,262.97, 4,894.76 and 923.02

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Solution

The fourth proportional to 3,262.97, 4,894.76 and 923.02 is: 1,384.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.97 : 4,894.76 = 923.02 : x
  2. Step 2: Convert to fraction form
    3,262.97/4,894.76 = 923.02/x
  3. Step 3: Cross multiply
    3,262.97x = 4,894.76 × 923.02
  4. Step 4: Simplify right side
    3,262.97x = 4,517,961.38
  5. Step 5: Solve for x
    x = 4,517,961.38/3,262.97
  6. Step 6: Final answer
    x = 1,384.62

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Double scale
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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.