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Finding the Fourth Proportional to 1,232.08, 1,847.50 and 907.68

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Solution

The fourth proportional to 1,232.08, 1,847.50 and 907.68 is: 1,361.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.08 : 1,847.50 = 907.68 : x
  2. Step 2: Convert to fraction form
    1,232.08/1,847.50 = 907.68/x
  3. Step 3: Cross multiply
    1,232.08x = 1,847.50 × 907.68
  4. Step 4: Simplify right side
    1,232.08x = 1,676,938.80
  5. Step 5: Solve for x
    x = 1,676,938.80/1,232.08
  6. Step 6: Final answer
    x = 1,361.06

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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.