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Finding the Fourth Proportional to 2,677.50, 4,016.25 and 2,316.65

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Solution

The fourth proportional to 2,677.50, 4,016.25 and 2,316.65 is: 3,474.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.50 : 4,016.25 = 2,316.65 : x
  2. Step 2: Convert to fraction form
    2,677.50/4,016.25 = 2,316.65/x
  3. Step 3: Cross multiply
    2,677.50x = 4,016.25 × 2,316.65
  4. Step 4: Simplify right side
    2,677.50x = 9,304,225.48
  5. Step 5: Solve for x
    x = 9,304,225.48/2,677.50
  6. Step 6: Final answer
    x = 3,474.97

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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.