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Finding the Fourth Proportional to 2,846.76, 4,274.79 and 1,758.06

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Solution

The fourth proportional to 2,846.76, 4,274.79 and 1,758.06 is: 2,639.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.76 : 4,274.79 = 1,758.06 : x
  2. Step 2: Convert to fraction form
    2,846.76/4,274.79 = 1,758.06/x
  3. Step 3: Cross multiply
    2,846.76x = 4,274.79 × 1,758.06
  4. Step 4: Simplify right side
    2,846.76x = 7,515,337.31
  5. Step 5: Solve for x
    x = 7,515,337.31/2,846.76
  6. Step 6: Final answer
    x = 2,639.96

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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.