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Finding the Fourth Proportional to 2,908.04, 4,361.94 and 716.76

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Solution

The fourth proportional to 2,908.04, 4,361.94 and 716.76 is: 1,075.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908.04 : 4,361.94 = 716.76 : x
  2. Step 2: Convert to fraction form
    2,908.04/4,361.94 = 716.76/x
  3. Step 3: Cross multiply
    2,908.04x = 4,361.94 × 716.76
  4. Step 4: Simplify right side
    2,908.04x = 3,126,464.11
  5. Step 5: Solve for x
    x = 3,126,464.11/2,908.04
  6. Step 6: Final answer
    x = 1,075.11

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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.