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Finding the Fourth Proportional to 2,488.16, 3,728.04 and 1,754.16

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Solution

The fourth proportional to 2,488.16, 3,728.04 and 1,754.16 is: 2,628.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.16 : 3,728.04 = 1,754.16 : x
  2. Step 2: Convert to fraction form
    2,488.16/3,728.04 = 1,754.16/x
  3. Step 3: Cross multiply
    2,488.16x = 3,728.04 × 1,754.16
  4. Step 4: Simplify right side
    2,488.16x = 6,539,578.65
  5. Step 5: Solve for x
    x = 6,539,578.65/2,488.16
  6. Step 6: Final answer
    x = 2,628.28

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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.