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Finding the Fourth Proportional to 1,633.16, 2,253.73 and 924.97

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Solution

The fourth proportional to 1,633.16, 2,253.73 and 924.97 is: 1,276.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.16 : 2,253.73 = 924.97 : x
  2. Step 2: Convert to fraction form
    1,633.16/2,253.73 = 924.97/x
  3. Step 3: Cross multiply
    1,633.16x = 2,253.73 × 924.97
  4. Step 4: Simplify right side
    1,633.16x = 2,084,632.64
  5. Step 5: Solve for x
    x = 2,084,632.64/1,633.16
  6. Step 6: Final answer
    x = 1,276.44

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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.