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Finding the Fourth Proportional to 2,185.96, 3,280.66 and 888.34

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Solution

The fourth proportional to 2,185.96, 3,280.66 and 888.34 is: 1,333.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.96 : 3,280.66 = 888.34 : x
  2. Step 2: Convert to fraction form
    2,185.96/3,280.66 = 888.34/x
  3. Step 3: Cross multiply
    2,185.96x = 3,280.66 × 888.34
  4. Step 4: Simplify right side
    2,185.96x = 2,914,341.50
  5. Step 5: Solve for x
    x = 2,914,341.50/2,185.96
  6. Step 6: Final answer
    x = 1,333.21

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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.