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Finding the Fourth Proportional to 2,033.84, 2,799.60 and 1,754.96

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Solution

The fourth proportional to 2,033.84, 2,799.60 and 1,754.96 is: 2,415.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.84 : 2,799.60 = 1,754.96 : x
  2. Step 2: Convert to fraction form
    2,033.84/2,799.60 = 1,754.96/x
  3. Step 3: Cross multiply
    2,033.84x = 2,799.60 × 1,754.96
  4. Step 4: Simplify right side
    2,033.84x = 4,913,186.02
  5. Step 5: Solve for x
    x = 4,913,186.02/2,033.84
  6. Step 6: Final answer
    x = 2,415.72

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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.