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Finding the Fourth Proportional to 1,902.96, 2,852.28 and 807.84

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Solution

The fourth proportional to 1,902.96, 2,852.28 and 807.84 is: 1,210.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.96 : 2,852.28 = 807.84 : x
  2. Step 2: Convert to fraction form
    1,902.96/2,852.28 = 807.84/x
  3. Step 3: Cross multiply
    1,902.96x = 2,852.28 × 807.84
  4. Step 4: Simplify right side
    1,902.96x = 2,304,185.88
  5. Step 5: Solve for x
    x = 2,304,185.88/1,902.96
  6. Step 6: Final answer
    x = 1,210.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.