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Finding the Fourth Proportional to 2,024.01, 3,036.74 and 792.31

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Solution

The fourth proportional to 2,024.01, 3,036.74 and 792.31 is: 1,188.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.01 : 3,036.74 = 792.31 : x
  2. Step 2: Convert to fraction form
    2,024.01/3,036.74 = 792.31/x
  3. Step 3: Cross multiply
    2,024.01x = 3,036.74 × 792.31
  4. Step 4: Simplify right side
    2,024.01x = 2,406,039.47
  5. Step 5: Solve for x
    x = 2,406,039.47/2,024.01
  6. Step 6: Final answer
    x = 1,188.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.