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Finding the Fourth Proportional to 2,716.71, 4,075.71 and 768.88

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Solution

The fourth proportional to 2,716.71, 4,075.71 and 768.88 is: 1,153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.71 : 4,075.71 = 768.88 : x
  2. Step 2: Convert to fraction form
    2,716.71/4,075.71 = 768.88/x
  3. Step 3: Cross multiply
    2,716.71x = 4,075.71 × 768.88
  4. Step 4: Simplify right side
    2,716.71x = 3,133,731.90
  5. Step 5: Solve for x
    x = 3,133,731.90/2,716.71
  6. Step 6: Final answer
    x = 1,153.50

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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.