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Finding the Fourth Proportional to 1,754.56, 2,618.96 and 1,525.12

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Solution

The fourth proportional to 1,754.56, 2,618.96 and 1,525.12 is: 2,276.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.56 : 2,618.96 = 1,525.12 : x
  2. Step 2: Convert to fraction form
    1,754.56/2,618.96 = 1,525.12/x
  3. Step 3: Cross multiply
    1,754.56x = 2,618.96 × 1,525.12
  4. Step 4: Simplify right side
    1,754.56x = 3,994,228.28
  5. Step 5: Solve for x
    x = 3,994,228.28/1,754.56
  6. Step 6: Final answer
    x = 2,276.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.