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Finding the Fourth Proportional to 2,501.79, 3,748.56 and 857.43

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Solution

The fourth proportional to 2,501.79, 3,748.56 and 857.43 is: 1,284.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,501.79 : 3,748.56 = 857.43 : x
  2. Step 2: Convert to fraction form
    2,501.79/3,748.56 = 857.43/x
  3. Step 3: Cross multiply
    2,501.79x = 3,748.56 × 857.43
  4. Step 4: Simplify right side
    2,501.79x = 3,214,127.80
  5. Step 5: Solve for x
    x = 3,214,127.80/2,501.79
  6. Step 6: Final answer
    x = 1,284.73

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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.