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Finding the Fourth Proportional to 3,733.78, 5,600.61 and 1,681.78

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Solution

The fourth proportional to 3,733.78, 5,600.61 and 1,681.78 is: 2,522.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733.78 : 5,600.61 = 1,681.78 : x
  2. Step 2: Convert to fraction form
    3,733.78/5,600.61 = 1,681.78/x
  3. Step 3: Cross multiply
    3,733.78x = 5,600.61 × 1,681.78
  4. Step 4: Simplify right side
    3,733.78x = 9,418,993.89
  5. Step 5: Solve for x
    x = 9,418,993.89/3,733.78
  6. Step 6: Final answer
    x = 2,522.64

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1.5x scale

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.