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Finding the Fourth Proportional to 2,033.79, 3,050.84 and 994.66

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Solution

The fourth proportional to 2,033.79, 3,050.84 and 994.66 is: 1,492.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.79 : 3,050.84 = 994.66 : x
  2. Step 2: Convert to fraction form
    2,033.79/3,050.84 = 994.66/x
  3. Step 3: Cross multiply
    2,033.79x = 3,050.84 × 994.66
  4. Step 4: Simplify right side
    2,033.79x = 3,034,548.51
  5. Step 5: Solve for x
    x = 3,034,548.51/2,033.79
  6. Step 6: Final answer
    x = 1,492.07

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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.