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Finding the Fourth Proportional to 2,501.89, 3,752.91 and 858.41

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Solution

The fourth proportional to 2,501.89, 3,752.91 and 858.41 is: 1,287.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,501.89 : 3,752.91 = 858.41 : x
  2. Step 2: Convert to fraction form
    2,501.89/3,752.91 = 858.41/x
  3. Step 3: Cross multiply
    2,501.89x = 3,752.91 × 858.41
  4. Step 4: Simplify right side
    2,501.89x = 3,221,527.56
  5. Step 5: Solve for x
    x = 3,221,527.56/2,501.89
  6. Step 6: Final answer
    x = 1,287.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.