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Finding the Fourth Proportional to 1,944.88, 2,914.72 and 711.11

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Solution

The fourth proportional to 1,944.88, 2,914.72 and 711.11 is: 1,065.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.88 : 2,914.72 = 711.11 : x
  2. Step 2: Convert to fraction form
    1,944.88/2,914.72 = 711.11/x
  3. Step 3: Cross multiply
    1,944.88x = 2,914.72 × 711.11
  4. Step 4: Simplify right side
    1,944.88x = 2,072,692.05
  5. Step 5: Solve for x
    x = 2,072,692.05/1,944.88
  6. Step 6: Final answer
    x = 1,065.72

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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.