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Finding the Fourth Proportional to 1,832.49, 2,748.64 and 907.75

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Solution

The fourth proportional to 1,832.49, 2,748.64 and 907.75 is: 1,361.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.49 : 2,748.64 = 907.75 : x
  2. Step 2: Convert to fraction form
    1,832.49/2,748.64 = 907.75/x
  3. Step 3: Cross multiply
    1,832.49x = 2,748.64 × 907.75
  4. Step 4: Simplify right side
    1,832.49x = 2,495,077.96
  5. Step 5: Solve for x
    x = 2,495,077.96/1,832.49
  6. Step 6: Final answer
    x = 1,361.58

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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.