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Finding the Fourth Proportional to 1,731.81, 2,597.62 and 757.91

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Solution

The fourth proportional to 1,731.81, 2,597.62 and 757.91 is: 1,136.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.81 : 2,597.62 = 757.91 : x
  2. Step 2: Convert to fraction form
    1,731.81/2,597.62 = 757.91/x
  3. Step 3: Cross multiply
    1,731.81x = 2,597.62 × 757.91
  4. Step 4: Simplify right side
    1,731.81x = 1,968,762.17
  5. Step 5: Solve for x
    x = 1,968,762.17/1,731.81
  6. Step 6: Final answer
    x = 1,136.82

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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.