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Finding the Fourth Proportional to 3,097.74, 4,646.67 and 757.76

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Solution

The fourth proportional to 3,097.74, 4,646.67 and 757.76 is: 1,136.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.74 : 4,646.67 = 757.76 : x
  2. Step 2: Convert to fraction form
    3,097.74/4,646.67 = 757.76/x
  3. Step 3: Cross multiply
    3,097.74x = 4,646.67 × 757.76
  4. Step 4: Simplify right side
    3,097.74x = 3,521,034.58
  5. Step 5: Solve for x
    x = 3,521,034.58/3,097.74
  6. Step 6: Final answer
    x = 1,136.64

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Why These Related Problems?

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