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Finding the Fourth Proportional to 3,052.39, 4,212.28 and 1,655.14

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Solution

The fourth proportional to 3,052.39, 4,212.28 and 1,655.14 is: 2,284.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.39 : 4,212.28 = 1,655.14 : x
  2. Step 2: Convert to fraction form
    3,052.39/4,212.28 = 1,655.14/x
  3. Step 3: Cross multiply
    3,052.39x = 4,212.28 × 1,655.14
  4. Step 4: Simplify right side
    3,052.39x = 6,971,913.12
  5. Step 5: Solve for x
    x = 6,971,913.12/3,052.39
  6. Step 6: Final answer
    x = 2,284.08

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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.