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Finding the Fourth Proportional to 2,017.16, 2,782.98 and 1,260.42

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Solution

The fourth proportional to 2,017.16, 2,782.98 and 1,260.42 is: 1,738.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.16 : 2,782.98 = 1,260.42 : x
  2. Step 2: Convert to fraction form
    2,017.16/2,782.98 = 1,260.42/x
  3. Step 3: Cross multiply
    2,017.16x = 2,782.98 × 1,260.42
  4. Step 4: Simplify right side
    2,017.16x = 3,507,723.65
  5. Step 5: Solve for x
    x = 3,507,723.65/2,017.16
  6. Step 6: Final answer
    x = 1,738.95

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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.