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Finding the Fourth Proportional to 1,848.18, 2,770.50 and 677.88

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Solution

The fourth proportional to 1,848.18, 2,770.50 and 677.88 is: 1,016.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.18 : 2,770.50 = 677.88 : x
  2. Step 2: Convert to fraction form
    1,848.18/2,770.50 = 677.88/x
  3. Step 3: Cross multiply
    1,848.18x = 2,770.50 × 677.88
  4. Step 4: Simplify right side
    1,848.18x = 1,878,066.54
  5. Step 5: Solve for x
    x = 1,878,066.54/1,848.18
  6. Step 6: Final answer
    x = 1,016.17

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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.