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Finding the Fourth Proportional to 1,416.98, 1,954.81 and 944.42

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Solution

The fourth proportional to 1,416.98, 1,954.81 and 944.42 is: 1,302.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.98 : 1,954.81 = 944.42 : x
  2. Step 2: Convert to fraction form
    1,416.98/1,954.81 = 944.42/x
  3. Step 3: Cross multiply
    1,416.98x = 1,954.81 × 944.42
  4. Step 4: Simplify right side
    1,416.98x = 1,846,149.53
  5. Step 5: Solve for x
    x = 1,846,149.53/1,416.98
  6. Step 6: Final answer
    x = 1,302.87

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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.