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Finding the Fourth Proportional to 3,019.50, 4,530.87 and 2,290.50

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Solution

The fourth proportional to 3,019.50, 4,530.87 and 2,290.50 is: 3,436.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.50 : 4,530.87 = 2,290.50 : x
  2. Step 2: Convert to fraction form
    3,019.50/4,530.87 = 2,290.50/x
  3. Step 3: Cross multiply
    3,019.50x = 4,530.87 × 2,290.50
  4. Step 4: Simplify right side
    3,019.50x = 10,377,957.74
  5. Step 5: Solve for x
    x = 10,377,957.74/3,019.50
  6. Step 6: Final answer
    x = 3,436.98

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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.