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Finding the Fourth Proportional to 1,671.53, 2,305.94 and 1,082.25

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Solution

The fourth proportional to 1,671.53, 2,305.94 and 1,082.25 is: 1,493.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.53 : 2,305.94 = 1,082.25 : x
  2. Step 2: Convert to fraction form
    1,671.53/2,305.94 = 1,082.25/x
  3. Step 3: Cross multiply
    1,671.53x = 2,305.94 × 1,082.25
  4. Step 4: Simplify right side
    1,671.53x = 2,495,612.04
  5. Step 5: Solve for x
    x = 2,495,612.04/1,671.53
  6. Step 6: Final answer
    x = 1,493.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.