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Finding the Fourth Proportional to 2,854.95, 4,282.87 and 1,211.50

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Solution

The fourth proportional to 2,854.95, 4,282.87 and 1,211.50 is: 1,817.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.95 : 4,282.87 = 1,211.50 : x
  2. Step 2: Convert to fraction form
    2,854.95/4,282.87 = 1,211.50/x
  3. Step 3: Cross multiply
    2,854.95x = 4,282.87 × 1,211.50
  4. Step 4: Simplify right side
    2,854.95x = 5,188,697.01
  5. Step 5: Solve for x
    x = 5,188,697.01/2,854.95
  6. Step 6: Final answer
    x = 1,817.44

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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.