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Finding the Fourth Proportional to 2,501.35, 3,752.06 and 857.86

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Solution

The fourth proportional to 2,501.35, 3,752.06 and 857.86 is: 1,286.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,501.35 : 3,752.06 = 857.86 : x
  2. Step 2: Convert to fraction form
    2,501.35/3,752.06 = 857.86/x
  3. Step 3: Cross multiply
    2,501.35x = 3,752.06 × 857.86
  4. Step 4: Simplify right side
    2,501.35x = 3,218,728.52
  5. Step 5: Solve for x
    x = 3,218,728.52/2,501.35
  6. Step 6: Final answer
    x = 1,286.80

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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.