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Finding the Fourth Proportional to 3,291.50, 4,542.28 and 1,894.26

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Solution

The fourth proportional to 3,291.50, 4,542.28 and 1,894.26 is: 2,614.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.50 : 4,542.28 = 1,894.26 : x
  2. Step 2: Convert to fraction form
    3,291.50/4,542.28 = 1,894.26/x
  3. Step 3: Cross multiply
    3,291.50x = 4,542.28 × 1,894.26
  4. Step 4: Simplify right side
    3,291.50x = 8,604,259.31
  5. Step 5: Solve for x
    x = 8,604,259.31/3,291.50
  6. Step 6: Final answer
    x = 2,614.08

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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.