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Finding the Fourth Proportional to 1,986.42, 2,977.37 and 944.95

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Solution

The fourth proportional to 1,986.42, 2,977.37 and 944.95 is: 1,416.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.42 : 2,977.37 = 944.95 : x
  2. Step 2: Convert to fraction form
    1,986.42/2,977.37 = 944.95/x
  3. Step 3: Cross multiply
    1,986.42x = 2,977.37 × 944.95
  4. Step 4: Simplify right side
    1,986.42x = 2,813,453.61
  5. Step 5: Solve for x
    x = 2,813,453.61/1,986.42
  6. Step 6: Final answer
    x = 1,416.34

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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.