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Finding the Fourth Proportional to 2,315.88, 3,466.98 and 2,027.88

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Solution

The fourth proportional to 2,315.88, 3,466.98 and 2,027.88 is: 3,035.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.88 : 3,466.98 = 2,027.88 : x
  2. Step 2: Convert to fraction form
    2,315.88/3,466.98 = 2,027.88/x
  3. Step 3: Cross multiply
    2,315.88x = 3,466.98 × 2,027.88
  4. Step 4: Simplify right side
    2,315.88x = 7,030,619.40
  5. Step 5: Solve for x
    x = 7,030,619.40/2,315.88
  6. Step 6: Final answer
    x = 3,035.83

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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.