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Finding the Fourth Proportional to 4,760.46, 7,140.69 and 1,297.74

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Solution

The fourth proportional to 4,760.46, 7,140.69 and 1,297.74 is: 1,946.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.46 : 7,140.69 = 1,297.74 : x
  2. Step 2: Convert to fraction form
    4,760.46/7,140.69 = 1,297.74/x
  3. Step 3: Cross multiply
    4,760.46x = 7,140.69 × 1,297.74
  4. Step 4: Simplify right side
    4,760.46x = 9,266,759.04
  5. Step 5: Solve for x
    x = 9,266,759.04/4,760.46
  6. Step 6: Final answer
    x = 1,946.61

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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.