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Finding the Fourth Proportional to 1,852.58, 2,778.06 and 878.96

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Solution

The fourth proportional to 1,852.58, 2,778.06 and 878.96 is: 1,318.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.58 : 2,778.06 = 878.96 : x
  2. Step 2: Convert to fraction form
    1,852.58/2,778.06 = 878.96/x
  3. Step 3: Cross multiply
    1,852.58x = 2,778.06 × 878.96
  4. Step 4: Simplify right side
    1,852.58x = 2,441,803.62
  5. Step 5: Solve for x
    x = 2,441,803.62/1,852.58
  6. Step 6: Final answer
    x = 1,318.06

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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.