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Finding the Fourth Proportional to 1,728.38, 2,379.13 and 1,506.94

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Solution

The fourth proportional to 1,728.38, 2,379.13 and 1,506.94 is: 2,074.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.38 : 2,379.13 = 1,506.94 : x
  2. Step 2: Convert to fraction form
    1,728.38/2,379.13 = 1,506.94/x
  3. Step 3: Cross multiply
    1,728.38x = 2,379.13 × 1,506.94
  4. Step 4: Simplify right side
    1,728.38x = 3,585,196.45
  5. Step 5: Solve for x
    x = 3,585,196.45/1,728.38
  6. Step 6: Final answer
    x = 2,074.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.