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Finding the Fourth Proportional to 3,024.92, 4,537.74 and 1,485.56

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Solution

The fourth proportional to 3,024.92, 4,537.74 and 1,485.56 is: 2,228.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.92 : 4,537.74 = 1,485.56 : x
  2. Step 2: Convert to fraction form
    3,024.92/4,537.74 = 1,485.56/x
  3. Step 3: Cross multiply
    3,024.92x = 4,537.74 × 1,485.56
  4. Step 4: Simplify right side
    3,024.92x = 6,741,085.03
  5. Step 5: Solve for x
    x = 6,741,085.03/3,024.92
  6. Step 6: Final answer
    x = 2,228.52

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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.