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Finding the Fourth Proportional to 2,024.20, 3,036.62 and 792.51

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Solution

The fourth proportional to 2,024.20, 3,036.62 and 792.51 is: 1,188.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.20 : 3,036.62 = 792.51 : x
  2. Step 2: Convert to fraction form
    2,024.20/3,036.62 = 792.51/x
  3. Step 3: Cross multiply
    2,024.20x = 3,036.62 × 792.51
  4. Step 4: Simplify right side
    2,024.20x = 2,406,551.72
  5. Step 5: Solve for x
    x = 2,406,551.72/2,024.20
  6. Step 6: Final answer
    x = 1,188.89

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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.