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Finding the Fourth Proportional to 2,024.04, 3,036.05 and 792.32

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Solution

The fourth proportional to 2,024.04, 3,036.05 and 792.32 is: 1,188.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.04 : 3,036.05 = 792.32 : x
  2. Step 2: Convert to fraction form
    2,024.04/3,036.05 = 792.32/x
  3. Step 3: Cross multiply
    2,024.04x = 3,036.05 × 792.32
  4. Step 4: Simplify right side
    2,024.04x = 2,405,506.97
  5. Step 5: Solve for x
    x = 2,405,506.97/2,024.04
  6. Step 6: Final answer
    x = 1,188.47

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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.