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Finding the Fourth Proportional to 2,474.81, 3,712.22 and 994.71

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Solution

The fourth proportional to 2,474.81, 3,712.22 and 994.71 is: 1,492.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.81 : 3,712.22 = 994.71 : x
  2. Step 2: Convert to fraction form
    2,474.81/3,712.22 = 994.71/x
  3. Step 3: Cross multiply
    2,474.81x = 3,712.22 × 994.71
  4. Step 4: Simplify right side
    2,474.81x = 3,692,582.36
  5. Step 5: Solve for x
    x = 3,692,582.36/2,474.81
  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.