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Finding the Fourth Proportional to 2,809.52, 3,877.40 and 1,567.52

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Solution

The fourth proportional to 2,809.52, 3,877.40 and 1,567.52 is: 2,163.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.52 : 3,877.40 = 1,567.52 : x
  2. Step 2: Convert to fraction form
    2,809.52/3,877.40 = 1,567.52/x
  3. Step 3: Cross multiply
    2,809.52x = 3,877.40 × 1,567.52
  4. Step 4: Simplify right side
    2,809.52x = 6,077,902.05
  5. Step 5: Solve for x
    x = 6,077,902.05/2,809.52
  6. Step 6: Final answer
    x = 2,163.32

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1.5x scale

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.