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Finding the Fourth Proportional to 1,676.04, 2,517 and 1,504.32

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Solution

The fourth proportional to 1,676.04, 2,517 and 1,504.32 is: 2,259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.04 : 2,517 = 1,504.32 : x
  2. Step 2: Convert to fraction form
    1,676.04/2,517 = 1,504.32/x
  3. Step 3: Cross multiply
    1,676.04x = 2,517 × 1,504.32
  4. Step 4: Simplify right side
    1,676.04x = 3,786,373.44
  5. Step 5: Solve for x
    x = 3,786,373.44/1,676.04
  6. Step 6: Final answer
    x = 2,259.12

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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.