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Finding the Fourth Proportional to 1,676.19, 2,515.50 and 935.04

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Solution

The fourth proportional to 1,676.19, 2,515.50 and 935.04 is: 1,403.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.19 : 2,515.50 = 935.04 : x
  2. Step 2: Convert to fraction form
    1,676.19/2,515.50 = 935.04/x
  3. Step 3: Cross multiply
    1,676.19x = 2,515.50 × 935.04
  4. Step 4: Simplify right side
    1,676.19x = 2,352,093.12
  5. Step 5: Solve for x
    x = 2,352,093.12/1,676.19
  6. Step 6: Final answer
    x = 1,403.24

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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.