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Finding the Fourth Proportional to 3,305.75, 4,560.74 and 1,888.41

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Solution

The fourth proportional to 3,305.75, 4,560.74 and 1,888.41 is: 2,605.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.75 : 4,560.74 = 1,888.41 : x
  2. Step 2: Convert to fraction form
    3,305.75/4,560.74 = 1,888.41/x
  3. Step 3: Cross multiply
    3,305.75x = 4,560.74 × 1,888.41
  4. Step 4: Simplify right side
    3,305.75x = 8,612,537.58
  5. Step 5: Solve for x
    x = 8,612,537.58/3,305.75
  6. Step 6: Final answer
    x = 2,605.32

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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.