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Finding the Fourth Proportional to 2,738.32, 4,107.55 and 983.45

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Solution

The fourth proportional to 2,738.32, 4,107.55 and 983.45 is: 1,475.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.32 : 4,107.55 = 983.45 : x
  2. Step 2: Convert to fraction form
    2,738.32/4,107.55 = 983.45/x
  3. Step 3: Cross multiply
    2,738.32x = 4,107.55 × 983.45
  4. Step 4: Simplify right side
    2,738.32x = 4,039,570.05
  5. Step 5: Solve for x
    x = 4,039,570.05/2,738.32
  6. Step 6: Final answer
    x = 1,475.20

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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.