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Finding the Fourth Proportional to 2,164.96, 2,988.32 and 1,234.08

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Solution

The fourth proportional to 2,164.96, 2,988.32 and 1,234.08 is: 1,703.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.96 : 2,988.32 = 1,234.08 : x
  2. Step 2: Convert to fraction form
    2,164.96/2,988.32 = 1,234.08/x
  3. Step 3: Cross multiply
    2,164.96x = 2,988.32 × 1,234.08
  4. Step 4: Simplify right side
    2,164.96x = 3,687,825.95
  5. Step 5: Solve for x
    x = 3,687,825.95/2,164.96
  6. Step 6: Final answer
    x = 1,703.42

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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.