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Finding the Fourth Proportional to 1,633.23, 2,253.97 and 925.07

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Solution

The fourth proportional to 1,633.23, 2,253.97 and 925.07 is: 1,276.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.23 : 2,253.97 = 925.07 : x
  2. Step 2: Convert to fraction form
    1,633.23/2,253.97 = 925.07/x
  3. Step 3: Cross multiply
    1,633.23x = 2,253.97 × 925.07
  4. Step 4: Simplify right side
    1,633.23x = 2,085,066.45
  5. Step 5: Solve for x
    x = 2,085,066.45/1,633.23
  6. Step 6: Final answer
    x = 1,276.65

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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.