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Finding the Fourth Proportional to 1,754.32, 2,422.80 and 1,571.20

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Solution

The fourth proportional to 1,754.32, 2,422.80 and 1,571.20 is: 2,169.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.32 : 2,422.80 = 1,571.20 : x
  2. Step 2: Convert to fraction form
    1,754.32/2,422.80 = 1,571.20/x
  3. Step 3: Cross multiply
    1,754.32x = 2,422.80 × 1,571.20
  4. Step 4: Simplify right side
    1,754.32x = 3,806,703.36
  5. Step 5: Solve for x
    x = 3,806,703.36/1,754.32
  6. Step 6: Final answer
    x = 2,169.90

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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.