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Finding the Fourth Proportional to 2,952.39, 4,070.89 and 2,354.42

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Solution

The fourth proportional to 2,952.39, 4,070.89 and 2,354.42 is: 3,246.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.39 : 4,070.89 = 2,354.42 : x
  2. Step 2: Convert to fraction form
    2,952.39/4,070.89 = 2,354.42/x
  3. Step 3: Cross multiply
    2,952.39x = 4,070.89 × 2,354.42
  4. Step 4: Simplify right side
    2,952.39x = 9,584,573.86
  5. Step 5: Solve for x
    x = 9,584,573.86/2,952.39
  6. Step 6: Final answer
    x = 3,246.37

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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.