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Finding the Fourth Proportional to 3,052.68, 4,212.74 and 1,655.42

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Solution

The fourth proportional to 3,052.68, 4,212.74 and 1,655.42 is: 2,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.68 : 4,212.74 = 1,655.42 : x
  2. Step 2: Convert to fraction form
    3,052.68/4,212.74 = 1,655.42/x
  3. Step 3: Cross multiply
    3,052.68x = 4,212.74 × 1,655.42
  4. Step 4: Simplify right side
    3,052.68x = 6,973,854.05
  5. Step 5: Solve for x
    x = 6,973,854.05/3,052.68
  6. Step 6: Final answer
    x = 2,284.50

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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.