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Finding the Fourth Proportional to 2,907.37, 4,361.05 and 716.10

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Solution

The fourth proportional to 2,907.37, 4,361.05 and 716.10 is: 1,074.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.37 : 4,361.05 = 716.10 : x
  2. Step 2: Convert to fraction form
    2,907.37/4,361.05 = 716.10/x
  3. Step 3: Cross multiply
    2,907.37x = 4,361.05 × 716.10
  4. Step 4: Simplify right side
    2,907.37x = 3,122,947.91
  5. Step 5: Solve for x
    x = 3,122,947.91/2,907.37
  6. Step 6: Final answer
    x = 1,074.15

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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.