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Finding the Fourth Proportional to 2,754.68, 3,802.02 and 1,575.88

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Solution

The fourth proportional to 2,754.68, 3,802.02 and 1,575.88 is: 2,175.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.68 : 3,802.02 = 1,575.88 : x
  2. Step 2: Convert to fraction form
    2,754.68/3,802.02 = 1,575.88/x
  3. Step 3: Cross multiply
    2,754.68x = 3,802.02 × 1,575.88
  4. Step 4: Simplify right side
    2,754.68x = 5,991,527.28
  5. Step 5: Solve for x
    x = 5,991,527.28/2,754.68
  6. Step 6: Final answer
    x = 2,175.04

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1.5x scale

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.