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Finding the Fourth Proportional to 2,858.95, 4,288.87 and 1,215.50

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Solution

The fourth proportional to 2,858.95, 4,288.87 and 1,215.50 is: 1,823.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.95 : 4,288.87 = 1,215.50 : x
  2. Step 2: Convert to fraction form
    2,858.95/4,288.87 = 1,215.50/x
  3. Step 3: Cross multiply
    2,858.95x = 4,288.87 × 1,215.50
  4. Step 4: Simplify right side
    2,858.95x = 5,213,121.49
  5. Step 5: Solve for x
    x = 5,213,121.49/2,858.95
  6. Step 6: Final answer
    x = 1,823.44

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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.