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Finding the Fourth Proportional to 1,623.32, 2,240.02 and 994.03

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Solution

The fourth proportional to 1,623.32, 2,240.02 and 994.03 is: 1,371.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.32 : 2,240.02 = 994.03 : x
  2. Step 2: Convert to fraction form
    1,623.32/2,240.02 = 994.03/x
  3. Step 3: Cross multiply
    1,623.32x = 2,240.02 × 994.03
  4. Step 4: Simplify right side
    1,623.32x = 2,226,637.48
  5. Step 5: Solve for x
    x = 2,226,637.48/1,623.32
  6. Step 6: Final answer
    x = 1,371.66

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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.