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Finding the Fourth Proportional to 1,984.16, 2,975.52 and 944.12

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Solution

The fourth proportional to 1,984.16, 2,975.52 and 944.12 is: 1,415.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.16 : 2,975.52 = 944.12 : x
  2. Step 2: Convert to fraction form
    1,984.16/2,975.52 = 944.12/x
  3. Step 3: Cross multiply
    1,984.16x = 2,975.52 × 944.12
  4. Step 4: Simplify right side
    1,984.16x = 2,809,247.94
  5. Step 5: Solve for x
    x = 2,809,247.94/1,984.16
  6. Step 6: Final answer
    x = 1,415.84

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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.