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Finding the Fourth Proportional to 3,003.57, 4,144.77 and 1,677

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Solution

The fourth proportional to 3,003.57, 4,144.77 and 1,677 is: 2,314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.57 : 4,144.77 = 1,677 : x
  2. Step 2: Convert to fraction form
    3,003.57/4,144.77 = 1,677/x
  3. Step 3: Cross multiply
    3,003.57x = 4,144.77 × 1,677
  4. Step 4: Simplify right side
    3,003.57x = 6,950,779.29
  5. Step 5: Solve for x
    x = 6,950,779.29/3,003.57
  6. Step 6: Final answer
    x = 2,314.17

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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.