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Finding the Fourth Proportional to 2,878.12, 4,316.54 and 1,123.17

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Solution

The fourth proportional to 2,878.12, 4,316.54 and 1,123.17 is: 1,684.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.12 : 4,316.54 = 1,123.17 : x
  2. Step 2: Convert to fraction form
    2,878.12/4,316.54 = 1,123.17/x
  3. Step 3: Cross multiply
    2,878.12x = 4,316.54 × 1,123.17
  4. Step 4: Simplify right side
    2,878.12x = 4,848,202.62
  5. Step 5: Solve for x
    x = 4,848,202.62/2,878.12
  6. Step 6: Final answer
    x = 1,684.50

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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.