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Finding the Fourth Proportional to 2,489.50, 3,435.51 and 1,385.50

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Solution

The fourth proportional to 2,489.50, 3,435.51 and 1,385.50 is: 1,911.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.50 : 3,435.51 = 1,385.50 : x
  2. Step 2: Convert to fraction form
    2,489.50/3,435.51 = 1,385.50/x
  3. Step 3: Cross multiply
    2,489.50x = 3,435.51 × 1,385.50
  4. Step 4: Simplify right side
    2,489.50x = 4,759,899.11
  5. Step 5: Solve for x
    x = 4,759,899.11/2,489.50
  6. Step 6: Final answer
    x = 1,911.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.