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Finding the Fourth Proportional to 1,754.92, 2,615.28 and 1,704.32

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Solution

The fourth proportional to 1,754.92, 2,615.28 and 1,704.32 is: 2,539.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.92 : 2,615.28 = 1,704.32 : x
  2. Step 2: Convert to fraction form
    1,754.92/2,615.28 = 1,704.32/x
  3. Step 3: Cross multiply
    1,754.92x = 2,615.28 × 1,704.32
  4. Step 4: Simplify right side
    1,754.92x = 4,457,274.01
  5. Step 5: Solve for x
    x = 4,457,274.01/1,754.92
  6. Step 6: Final answer
    x = 2,539.87

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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.