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Finding the Fourth Proportional to 2,858.70, 4,288.50 and 1,215.25

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Solution

The fourth proportional to 2,858.70, 4,288.50 and 1,215.25 is: 1,823.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.70 : 4,288.50 = 1,215.25 : x
  2. Step 2: Convert to fraction form
    2,858.70/4,288.50 = 1,215.25/x
  3. Step 3: Cross multiply
    2,858.70x = 4,288.50 × 1,215.25
  4. Step 4: Simplify right side
    2,858.70x = 5,211,599.63
  5. Step 5: Solve for x
    x = 5,211,599.63/2,858.70
  6. Step 6: Final answer
    x = 1,823.07

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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.