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Finding the Fourth Proportional to 2,810.50, 3,878.49 and 1,568.50

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Solution

The fourth proportional to 2,810.50, 3,878.49 and 1,568.50 is: 2,164.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.50 : 3,878.49 = 1,568.50 : x
  2. Step 2: Convert to fraction form
    2,810.50/3,878.49 = 1,568.50/x
  3. Step 3: Cross multiply
    2,810.50x = 3,878.49 × 1,568.50
  4. Step 4: Simplify right side
    2,810.50x = 6,083,411.57
  5. Step 5: Solve for x
    x = 6,083,411.57/2,810.50
  6. Step 6: Final answer
    x = 2,164.53

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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.