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Finding the Fourth Proportional to 2,654.64, 3,983.76 and 923.26

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Solution

The fourth proportional to 2,654.64, 3,983.76 and 923.26 is: 1,385.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.64 : 3,983.76 = 923.26 : x
  2. Step 2: Convert to fraction form
    2,654.64/3,983.76 = 923.26/x
  3. Step 3: Cross multiply
    2,654.64x = 3,983.76 × 923.26
  4. Step 4: Simplify right side
    2,654.64x = 3,678,046.26
  5. Step 5: Solve for x
    x = 3,678,046.26/2,654.64
  6. Step 6: Final answer
    x = 1,385.52

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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.