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Finding the Fourth Proportional to 1,623.25, 2,240.49 and 925.03

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Solution

The fourth proportional to 1,623.25, 2,240.49 and 925.03 is: 1,276.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.25 : 2,240.49 = 925.03 : x
  2. Step 2: Convert to fraction form
    1,623.25/2,240.49 = 925.03/x
  3. Step 3: Cross multiply
    1,623.25x = 2,240.49 × 925.03
  4. Step 4: Simplify right side
    1,623.25x = 2,072,520.46
  5. Step 5: Solve for x
    x = 2,072,520.46/1,623.25
  6. Step 6: Final answer
    x = 1,276.77

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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.