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Finding the Fourth Proportional to 2,069.04, 2,853 and 1,754.16

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Solution

The fourth proportional to 2,069.04, 2,853 and 1,754.16 is: 2,418.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.04 : 2,853 = 1,754.16 : x
  2. Step 2: Convert to fraction form
    2,069.04/2,853 = 1,754.16/x
  3. Step 3: Cross multiply
    2,069.04x = 2,853 × 1,754.16
  4. Step 4: Simplify right side
    2,069.04x = 5,004,618.48
  5. Step 5: Solve for x
    x = 5,004,618.48/2,069.04
  6. Step 6: Final answer
    x = 2,418.81

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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.