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Finding the Fourth Proportional to 1,736.81, 2,605.04 and 956.55

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Solution

The fourth proportional to 1,736.81, 2,605.04 and 956.55 is: 1,434.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.81 : 2,605.04 = 956.55 : x
  2. Step 2: Convert to fraction form
    1,736.81/2,605.04 = 956.55/x
  3. Step 3: Cross multiply
    1,736.81x = 2,605.04 × 956.55
  4. Step 4: Simplify right side
    1,736.81x = 2,491,851.01
  5. Step 5: Solve for x
    x = 2,491,851.01/1,736.81
  6. Step 6: Final answer
    x = 1,434.73

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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.